Gujarat

Hello,
Here is the list of top mechanical engineering college in Gujarat.
UV Patel College of EngineeringLalbhai Dalpatbhai College of EngineeringBirla Vishwakarma Mahavidhyalay

Yes, of course you can go for it. It doesn't matter from where you have come from. If you have a good percentage, you can definitely get into it easily.

Attached to this answer is a link to a few possible colleges that suit your requirement. Please check them out.
https://www.shiksha.com/hospitality-travel/travel-tourism/colleges/colleges-vadodara.

To get admission for MBBS in government medical colleges, your score should not be less than 500 in general category. It seems difficult for you to get government college as per your said score, you should try for private colleges.

Yes, you may have a good chance to get admission in MSU, Vadodara with score of 120/200 marks in NATA exam 2019. Only candidates who have the following credentials shall be eligible for admission to B.Arch. Course.
I. Qualified through the recognised aptitude test in Architecture NATA or equivalent) in 2019
ii. Have gone through any of the following curriculum with marks as prescribed below:
(a) Secured 50% marks in physics, chemistry and mathematics and also, 50% marks in aggregate at 10+2 level examination.

No, I don't think so. Check the cut off score in site.

Dear, it is a 50-50 chance to get admission there. Be ready with your rank because they will take admission through rank, not percentile.
All the best.