B.Tech

Basic computer knowledge is required but it is not mandatory to pursue CSE to have computer science as one of the subject in higher studies. So go for that and all the best for your future endeavors.

Yes, it is possible but considering your academics some of the prestigious colleges may not consider your profile apart from that if you will go with MBA it will be more difficult. Although there are some top ranked colleges which do not consider academics.

In India, NICMAR Pune is one of the best colleges for construction management, although Global School of Technology is also a prestigious college.

If you want to get a good college and you have enough dedication and confidence. You should drop one more year rather than doing B.Tech and preparation simultaneously. B.Tech has its own wide syllabus, it will not going to be easy to accomplish both task together. If your college is good, then focus on your academic and learn skills to get future ready. If it is not you can dream and dare to get an IIT for higher studies. It will be a wise decision.

Maths is there in computer science engineering in first 3-4 semesters. Physics and chemistry are taught during the 1st year only.

Yes, you can but your board exam's score will affect a lot.

Yes, PES University has lateral entry seats. You have to appear in KDCET and try to score well to get good branches in PES University.