JEE Main Scores

Last year, the least marks required to get into mechanical were 101 in JEE Mains.
Hence, explore different opportunities.

Since you'll not get a government college with this rank, you can apply for a good private university such as LPU, KIIT, VIT, ICFAI, UPES, Amity, Sharda, Galgotia University, Manipal (recommended), Amrita.
Or get into one of the private colleges nearby you if you feel the placements are good.
Moreover, the last option left with you is a drop.

No, there is no such exam. Moreover, IIT-JEE is only held only for central government run institutions across the nation.

You are not likely to get a government college in India. Hence, you'll need to get either into big private universities or into local engineering institutes. Check the best colleges in PUNE for Engineering or either apply for MANIPAL, VIT, AMITY, AMRITA or LPU for distance education. NIMMS also if you can afford.

With your Mains marks, you have no chances of getting any government. College throughout the INDIA for CSE (for general). Least are the chances at home state + local autonomous institutes. Check if there are any in your state or go for good private universities.

https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor
Please go through the link that I am sharing here to know about the same.
Good luck.

The best college in BHOPAL is LNCT raise road campus. Moreover, you need to talk to them and convince as your marks are less. Rest all colleges are average, oriental be one of the nicest of them and other LNCT campuses across BHOPAL. You can also try for good colleges in INDORE.

No, this is not possible in any of the rounds for CSE as the competition is high, accompanied by your relatively low ranking for the position. You should try for non-technical branches for SIT, Pune or probably need to change your college preference.

You can put that college in your choice filling form during your counselling. Then according to your rank, you will get the college.
So, do fill the counselling form. From this, you can get AU University. Good luck.

https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor
Please go to the link above. Here you can get an idea about the colleges you might get.
Good luck.