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Since you are from science stream, myself being engineering student, if you have interest in engineering then only go for it that too from a good college, else choose BCA or B.Sc honors with subject of your interest, you have other options too. If you go for B.Tech then you should be sure of getting into technical field coming out of it is quite difficult.
Also, you must know the engineering scenario in India, if you are an average student and getting average college then choosing B.Tech is not a wise decision, I have gone through it, sharing my personal experience.
You are in 12 I guess, you have time to decide what to do, sit back and think if you want to do this and that, because once the time gone you can't make a fair decision in hurry.

Students who aspire to become lawyer after 10+2 can join 5 years integrated BA LLB or BBA LLB course offered by multiple universities. National Law Universities conducting All India Law Entrance Test for 5 years integrated 5 years law degree courses for admission to law universities in India. Lots of private universities also offer five years integrated law degree such as BA-LLB or BBA-LLB or BSc-LLB. Eligibility criteria of appearing in Law entrance examination is having passed the Higher Secondary School Examination (10+2) system or an equivalent examination by securing in the aggregate not less than 50% of the total marks. The Candidates appearing in the 12th Standard Examination in March/ April can also apply. You are eligible to seek admission in integrated law degree course with your PCM subjects.

The Indian Maritime University is a Central University, that was established by Government of India for imparting quality education in the maritime field. It has an All-India jurisdiction and the headquarters is at Chennai.
It has campuses at Chennai, Kolkata, Mumbai, Visakhapatnam and Cochin. University conducts degree and Post graduate courses on Nautical Science, Marine Engineering, Ship building and International Transportation and Logistics Management. Lot of private colleges are affiliated to IMU. IMU conducts its own entrance namely All India Common Entrance Test. You may appear in CET to pursue your merchant navy career. www.imu.edu.in
You are advised to clear Maths as an additional subject to become eligible for most of the Merchant Navy degree courses.