JEE Main

Hello,
I hope you are doing well. You can check the list of colleges including NITs and IIITs that you can get according to your marks and rank in Mumbai. Use Shiksha's JEE college predictor:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor?utm_source=connect&utm_medium=CR_JEECP&utm_campaign=7489993

Yes, MBM is a good engineering college located in Rajasthan. Placements are also good there. You should go for that.

MHCET is the exam for getting admissions in DJ Sanghvi. If you are a student who is not from Maharashtra, then you can apply through JEE Mains.
But your JEE score as well as your board percentage will be taken into account while taking admissions. So it depends on your boards marks as well.
Hope this helps!

With these marks, you will not get any government or autonomous college across the nation for CSE. Though, if you have a passion for it, you can get into one of the private university and practise the academics there. Also, let us know if you can switch your branch to let u know with some college options.

With these marks, you are likely to get into it through jee mains though you'll not get the best branch. Moreover, you can crack SIT ( entrance exam for Symbiosis University) based on which you can get into it with suitable ranking and branch.

Though you have good marks in boards, still you are unable to get into colleges through it. With your Mains score, getting into SSN is not likely to be in your favour according to your last year statistics or any of the top colleges as their ranking requirement is below 20K. Still, you can get a private university or try for home state autonomous colleges.

For JEE Mains, you should try for any private university (passing their own entrance) or institute near you as there is no chance of an NIT with this.

If it's NIIT University, yes, you will easily get into it. You just need to pass their entrance test for which you can directly apply through their website. If you enquire about NITs, so there is no possibility with this rank. Though, you can try for the lower two NITs that are NIT-Pondicherry and NIT-Silchar or Manipur but still it's not worth getting into them for distance learning.
Hope it helped.

IET-Lucknow gives admissions on the basis of UPSEEE and not with Mains score. Kindly appear for the same to get into IET.
Best of luck.

No, you are not eligible for appearing in IIT. You can reappear for your intermediate exams. If you want to go for IIT Advanced, you need to reappear for all the subjects, whereas, if you want to clear JEE Mains then you can apply for the only PCM.
Eligibility for IIT:
60 % marks in PCM.
75 % total aggregate percentage. There are a lot of people who drop out and do IIT preparation due to social pressure. A little recommendation from my side.
Follow your passion.