Coimbatore

You can buy an application form from SSN trust office in Chennai. You can fill the form and send it to the same address. They will select based on your class 12th scores.
If you will be shortlisted, they will call for counselling. Then, you have to write the aptitude test conducted by them in the college and have to attend the interview. Based on your performance in test and interview, they will select the candidates.

PSG is just a famous college with no proper training and campus interviews. Try a better college with good campus interviews and don't follow a college just for the fame.

It will not be right to quantify which institute is better between the two that you have mentioned, especially because this can be different for different individuals with different requirements. Having said this let me also state that ICFAI is more famous among both students and employers as compared to the other in my point of view.

PSG, GRG, Dr. GRD and Bharathiar University are some of the top colleges offering MBA in Coimbatore.

Yes you are eligible.

You may please refer to following link for list of top engineering colleges in Coimbatore: https://www.shiksha.com/top-engineering-colleges-in-coimbatore-rankingpage-44-0-0-67-0

Hello Rigunlal,
We are one of the experienced (32 years) and trusted educational institutions in Coimbatore providing excellent exposure to students during the MBA program. We also organise exclusive placement training from 1st week of MBA program, moreover, we also strive to organise summer internship in reputed companies. Placement record for MBA at Sankara has been excellent. This year, minimum 15 companies will visit our institute for on-campus placements, and if students perform to their best ability, they'll surely fetch offers.

Both of these colleges are good. You can check their websites for information related to their placement.