Thadomal Shahani Engineering College

This is a good institute because they provide good facilities and campus is also good. They provide good placements too. So, you can apply for admission.

Yes, JEE Mains allows state colleges to take admission via the home state quota for which larger number of seats are reserved every year. So you can easily get admission through JEE.

Yes, it is AICTE approved. You can follow this link:
https://www.shiksha.com/college/thadomal-shahani-centre-for-management-tscfm-mulund-east-Mumbai-26930

Please visit this link. This is a college predictor and I hope this will help you to choose the right college-
https://www.google.com/url?sa=t&source=web&rct=j&url=https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor&ved=2ahUKEwie-7mvrITiAhWz73MBHYuID8oQFjAAegQIAxAB&usg=AOvVaw1N9BzFtyUCP4JU-2UQHQ0H.

The timings vary from one institute to another. It would be better if you contact the colleges directly for the information.

For deciding as to which one is better, do a comparative analysis of bother the institutes considering the following factors:
Courses offered in marketing
Internship opportunities & profiles offered
Live projects (if any) offered
Faculty
Placement statistics
Strength of campus
Past track of marketing batch
Companies visiting campus for final placements & for internships

The last year's data shows that you need to score above 180 to avail a seat in this campus.