SRM Institute of Science and Technology, Kattankulathur

Yes, if you have qualified SRM University entrance exam then definitely you can get admission through counseling. You should fill counseling form.
Good luck.

There is no as such last date particularly given for any course but you can contact admission department for particular dates.

Both of them are almost similar, and one can choose it according to his personal choice of campus and type of crowd.

You can gain knowledge by studying in any college, if youu have true desire to do so .
Now, coming to MBA, SRM is quite popular and you will have a lot of opportunities to learn and for other things.

You can consider following colleges:
https://www.google.com/amp/s/www.shiksha.com/mass-communication-media/journalism/course/amp/m-a-in-journalism-and-mass-communication-srm-institute-of-science-and-technology-Chennai-kattankulathur-campus-kattankulathur-266626

SRM main campus for CSE is better to manipal in every aspect I would say. You have better opportunities from them better placement better college better campus life.

No, cut-off is there for BBA, you will get admission in BBA easily.

You can join SRM for hotel management they have really good placement record. The course they offer and the facilities are ample for you to learn and best is it is in your budget and my honest opinion you should join SRM. The location is also a big advantage for SRM it is in outer skirts of Chennai but very well connected to Chennai with local trains and buses.