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As per the latest notification released by the National Testing Agency NTA there is no limit to the number of attempts for the JEE Main exam. Students can appear for the exam as many times as they want. However, the exam is conducted twice a year, and students can appear for both attempts. It is important to note that the JEE Main exam has an age limit of 25 years (general category) and 30 years (reserved categories). Also, candidates can appear for JEE Main only for three consecutive years after passing their 10+2 examination. It is advisable to focus on your preparation and take the JEE Main exam when you are fully prepared to achieve your desired score. You can improve your preparation by practicing previous year's question papers, taking mock tests, and seeking guidance from experienced teachers or mentors. Yes, you can appear for the JEE Main exam after completing your Polytechnic Diploma. However, you will have to ensure that you meet the other eligibility criteria for the exam, which includes passing your 10+2 examination or equivalent with Physics Chemistry and Mathematics as mandatory subjects. If you have completed your Polytechnic Diploma, you can apply for JEE Main through the lateral entry scheme. This scheme allows Diploma holders to get direct admission into the second year of B.Tech courses in various engineering colleges. However, the lateral entry scheme is only applicable to some engineering colleges, and the admission process may vary depending on the institution. Therefore, if you want to appear for JEE Main after completing your Polytechnic, it is important to check the eligibility criteria and admission process of the engineering college where you want to apply. Additionally, you can also seek guidance from experienced teachers or mentors to understand the admission process and prepare effectively for the exam.

In general, B.Sc (Honors) in maths is a good course which opens a lot of career fields after completion of course which are:
Masters: After B.Sc Honors in maths, one can go for M.Sc in mathematics, statistics, operational research, pure mathematics, applied mathematics, mathematics and computing. Some of the prestigious institutes which offer M.Sc in mathematics are:
IITs (through IIT jam)
CMI (Chennai mathematical institute separate exam and tough one)
IISC, Bangalore (through IIT Jam but only for top 70 AIR)
IISER (through IIT Jam but offers integrated one)
TIFR (Tata Institute of Fundamental Research)
University of Hyderabad
M.Sc in operational research (DU).
2) MBA: After B.Sc Honors in maths, MBA is also a good option which gives a kick start to your career.
3) Actuarial Science: If you want a job just after your graduation, so pursuing and clearing at least three exams of actuarial Science gives you a good job.
4) MCA / CODING: IT industry is one of the fastest growing industry in INDIA which offers lot of jobs. So, after B.Sc Honors in maths, you can go for IT jobs but you should know little bit of coding or you can go for MCA (NIMCET exams for admission in MCA ) .
5) Teaching : After B.Sc Honors, you can go for teaching as well but for that you have to do B.Ed or if professor or lectureship then JRF or NET exam .
Other than all of this fields, one can go for research field, government jobs (SSC), DRDO, ISRO, etc.
Hopefully, it will help you a make a right decision.

3 things, which you need to learn:
The first thing to learn, why there is really no such thing as a certified ethical hacker and comprehend why the terms certified and hacker are orthogonal.
To put it bluntly, the moment you get certified, you are no longer a hacker. Unless, you choose to buy into our cultures morphing of the word hacker - wherein it has been modified from one who, with little or no formal training, enjoys exploring the limits of what is possible in a field, typically in a spirit of playful cleverness. You don't get certified to do this, and getting certified more powerfully indicates that you are not doing it.
Certificates are for authenticating to people who trust the certificate authority. A better question, who trusts EC council and why?
Second, you can't be certified as ethical. At the end of the day, you are either an ethical individual or not. Trust is far more important and fragile in this community than a mere certificate can even begin to communicate. Background checks and individual relationships (references) will reveal far more of your ethics than a certificate. If you intend to be an ethical hacker, start with being an ethical individual, with a trustworthy character, and never cease.
Third, hack stuff, Figure it out, enjoy it, do something epic and cool with it. Learn it like your tongue knows the roof or your mouth. Invest time and energy and life in enjoying hacking things. Hack the washing machine, hack your refrigerator, hack the car, hack your significant other, have kids and hack them too.

Unfortunately, the answer is that there is no scope of astrobiology in India. I will tell you my experiences in this regard.
I have been an enthusiast for this subject since class 10. The pursuit of this subject led me to Indian Institute of Science, the topmost research institute in India(where I'm an undergraduate now). The people working here have heard of the term but no one has worked on it. Hence, I've had to depend upon online courses from Coursera.org and edX.org to satisfy my curiosity.
Not to be disheartened, I've tried to search for places where such research could be done. One such place is Indian Astrobiology Research Centre (IARC). However it currently does not have any internship program but offers a diploma program in Astrobiology. Also the people in it are generally enthusiasts from a wide scientific background from all over India and thus are not in general professionals in this field.
Research in this area occurs in isolated pockets throughout the world. The general information regarding these places and the type of research in them can be obtained here:
https://astrobiology.nasa.gov/nai/
Note that there are no Indian institutes as affiliates or collaborators, but only IARC is mentioned as the lone place in India where knowledge of Astrobiology can be obtained. As there is no institute which focuses on Astrobiological research in India, it is difficult to get recognition as an affiliate or a collaborator. I do not see this becoming possible in the near future.
Astrobiology as a subject is fascinating. But it is not going to grow in its scope until and unless there is some some development which would sound great to the government and to the public. So, when my friends give me a blank stare when I tell them about this subject, it is not their fault. Yes, the name sounds 'fancy' (and 'ridiculous') because we in India have inherently learnt to associate topics to specific subjects and hence fail to appreciate the interdisciplinary nature of Science. Until and unless this mentality changes, nothing more can be done.
So, the only way to get research done is to try and get into some of the institutes provided in the link, which is again quite difficult. So, Indians generally do not have many options today.
I sound quite pessimistic but all I have told is the truth about the current scenario. But I have not lost hope and I believe you shouldn't too.