Colleges in Chennai

Yes.
Management quota gives you a way of taking admission without appearing for the admission test. But you have to shell out much more this way. And prefer the KKT campus (main campus) if you are serious about taking admission there.

Yes, you will get admission.

Go through this link, you get to know about the fees:
http://www.srmuniv.ac.in/admission-india/fee-details/engineering_and_technology

2.5 lakhs NR per annum approximately.

It will be around 2.5 lakhs INR per annum in the main campus of SRM.

Yes, placements are good for every branch of Engineering in SRM. So, thus for ECE branch also, the placements are good.

Yes, you have a chance to get admission in Mechanical Engineering in main campus of SRM.

Hello Paras,
As you have money, then you may go to SRM KTK campus but Jaypee University is much better than SRM, as it is placed in top 100 college list by NIRF ranking, so you must try in Jaypee University.

Hi Akshat,
If you study well then you may get package somewhat more than IIT's also but it totally depends upon your devotion for your subject.Jaypee is better than SRM.