Exam

Placement wise, if you go for new NIT or IIT (new), there is very less scope. I think you take a 1 year break and improve your rank. Then, you can get easily any old IIT.

Yes, you can fill the form.

The following factors will be reviewed by the concerned authorities while preparing the JEE Main cutoff for NIT, Hamirpur. All of the listed factors are related to the JEE Main examination.
1. Cutoff trends of previous years.
2. Total number of candidates for the course.
3. Performance of the candida

I think, you have to prefer Employment News for that in that you get all the details.

Yes, you can apply for SAT examination even after taking a drop. This examination happens in every three months which you can give according to your convenience.

No, you have to give JEE (paper-2) to get admitted in SPA.

Do engineering in the best college of your city and after 4 years, prepare for GATE.

Yes, you can give your without any discretion where you study or live. The basic criteria is that you must have passed your 12th examination to get admission in foreign universities.