Engineering Entrance Exam

Provide your board exams result as well.

Which branch are you looking for?

You have a chance to get admission in NITS like NIT-Jaipur, Nagpur, Surat, Warangal, Durgapur, etc. for CSE.
Best of luck.

Provide your boards result as well.
In which branch and state are you looking for?

Drop is not necessary step for IITs. Many IITians haven't taken any step. If your focus on your goal is clear then you can also clear IIT JEE without drop.
Your concepts must be clear whether you take a drop or not.

You can't get government colleges as your chances are very very low. You can get a good private engineering college in your city/town or state. It depends on your JEE marks and your category as well. Fill the JOSSA admission form properly. Do the research on engineering colleges in your City/ State or Cities like Pune and Maharashtra which have some really good colleges.

I think you can get top NITs with this rank.

It depends upon your advanced result. As now a days, NITs considers JEE Advanced.

Getting a college also depends on which category you are in. If they are following 60/40 pattern while preparing ranking list, so it will also depend on your 12th percentage. Fill JOSSA admission form properly. Do the research about colleges in your state and nearby states and cities and check their cut-offs. If you are confident and consistent, you can also take a drop and work harder to score well.
Good luck.