JEE

Yes, you can get but it may vary from year to year.

JEE Main and MHT CET are both widely popular engineering examinations which are attempted by many aspirants. The difficulty level of JEE Main and MHT CET is often compared since MHT CET is said to be of the same level as JEE Main.

BITSAT for BITS Pilani
MH-CET for COE Pune.

For mathematicsm RD Sharma, for Physicsm HC Verma, DC Pandey and for Chemistrym Along with NCERT, Narendra Awasthi, for physical Chemistry, organic Chemistry by Morrison and boyd, Concise by J. D Lee for inorganic Chemistry.

You can give one or all three sessions for JEE Mains. The best of the three would be considered for rank consideration.

Most probably yes. because JEE Mains cutoff is often very low. also on the basis of past year analysis I think u have a fair chance. So in my opinion I think u will get qualified.

Few days before the 1st session of JEE Mains.

Yes, because of the reason that you are doing great as per the question asked by you as you secured less percentile in JE Mains, that is 51 percentile, With this you cannot get into any NIT. You can't even secure a seat in any decent government college with this percentile. Your rank will be around

You will definitely get JEE Main rank as you have submitted form as an appearing candidate. The only problem you will face is at the time of admission and verification to that definite college where you can get disqualified if you have not 75 percent.