Engineering Entrance Exam

Yes, the B.Tech Certificate obtained through the Work Integrated Learning Programme (WILP) of BITS Pilani is valid for GATE IES and other government exams. The degree Certificate awarded by BITS Pilani through the WILP programme is the same as that awarded to students in the full-time on-campus programme, and it is recognised by the University Grants Commission (UGC) and the All India Council for Technical Education (AICTE).

There are many engineering exams in India. You can apply for anyone. If you qualify the entrance exam then you will get admission in B.Tech. You can apply for following examinations. Here are some entrance exams in which you can apply after completing class 12th.
JEE Main
JEE Advanced
BITSAT
VITEEE
AMUEEE
Indian Navy B.Tech entry scheme. WBJEE
UPTU.

There are many engineering exams in India. Like
JEE Main
JEE Advanced
BITSAT
VITEEE
AMUEEE
Indian Navy B.Tech entry scheme
WBJEE
UPTU
but if you're good in Studies then you should prepare for JEE Main and JEE Advanced. After qualifying JEE Advanced. You will be able to get admission in IITs. IITs holds apex position in engineering colleges of India.

You can get NITs based on your state and preferences that you will add in form and with 93.5 percentile you are qualified for JEE Advanced so you study hard to get into an IIT.

Here are some engineering entrance exams in which you can apply after completing class 12th
JEE Main (For NITs)
JEE Advanced (If JEE Main qualified) (For IITs, IIITs)
BITSAT (For Bits Pilani)
VITEEE (For VIT)
AMUEEE (For AMU)
Indian navy B.Tech entry scheme.

Here are some engineering entrance exams in which you can apply after completing class 12th
JEE Main (Minimum 50% in 12th)
JEE Advanced (Minimum 75% in 12th)
BITSAT (Minimum 75% in 12th)
VITEEE (Minimum 60% in 12th)
AMUEEE (Minimum 50% in 12th)
Indian Navy B.Tech entry scheme (Minimum 50% in 12th). .

Here are some engineering entrance exams in which you can apply after completing class 12th with Science stream
JEE Main
JEE Advanced (If qualified JEE Main
BITSAT
VITEEE
AMUEEE
Indian Navy B.Tech entry scheme. WBJEE
UPTU.

In case you are in General Category, you can get in lower NITS with lower branches but I prefer you to prepare well for the JEE Advanced exam.

Yes, the authorities will announce.

You should opt for the Private colleges in case you want CSE branch else you can get into North East Nits with the lower branches.