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I have no idea about Texaila, however being LPU alumni. If you are looking for industry-oriented academics, practical-based curriculum, professional corporate culture during college life itself, and better placement in any fortune company, then Lovely Professional University- LPU is totally worth it.
LPU providing quality education, and have provided good rankings to the university on various parameters like placements, quality education, industry interface, infrastructure, international relations, Tie-ups etc.
LPU provides plenty of opportunities to its students to take part in events, competitions, fests in order to let them grow their personality and give them a chance to polish their skills.The students of LPU has been placed in the top companies with high salary packages. The placements have been divided as dream packages and bulk recruiters. Apart from placements, many eminent companies approach LPU to hire students for internships. A Salary package of 42 LPA was offered by Microsoft.

Yes, you are eligible for Aeronautical engineering. For Aeronautical Engineering :
Programme Structure: - Fixed Scheme
Primary Focus: - They work with aircraft that stay within the earth's atmosphere such as airplanes and helicopters. Covers Navigation, Metrology, Design of Airdromes, and public policy also for airports etc. Facts:- None of the IITs offer aeronautical engineering degree. For Aerospace Engineering:
Programme Structure:-
Fixed Scheme
specialisation can be offered in (I) Thermal and Propulsion, (ii) Aerodynamics and Flight Mechanics and (iii) Structures and Design etc. Primary Focus:-
A degree in aerospace engineering cover both: (I) aircraft that stay within the earth's atmosphere such as airplanes and helicopters. (ii) Aircraft that operate outside of the earth's atmosphere such as rockets, satellites, and other spacecraft. Does not cover much on Policy frameworks for airports, Design of Airdromes etc. Facts:- IIT Bombay, IIT Kharapur, IIT Kanpur and IIT Madras offer B.Tech and B.Tech-M.Tech (Integrated) programmes in Aerospace engineering. Job Prospect : - Aerospace engineering may lead to jobs with space research organizations like NASA and Indian Space Research Organisation (ISRO) or with large aviation companies like Boeing and Airbus. Besides them DRDO (Defence Research and Development Organisation), CAD (Civil Aviation Department), NAL (National Aeronautics Ltd) and HAL (Hindustan Aeronautics Limited) also employ aerospace engineers. In Lovely Professional University B.Tech. Aerospace Engineering programme is offered to students. Placement Record of last year is 12 LPA with 4.8 LPA is the average salary package of the batch. 90% students got placed till date for the batch.