Information Technology

Here is the admission procedure to get admission in this college:
https://www.shiksha.com/college/coep-college-of-engineering-Pune-shivaji-Nagar-28324

Digital Marketing is a part of IT. It uses IT and Non-IT Components in it application. It mainly focus on Sales & Services of a Product and Services to customers using various digital forms like Social Media, Content Marketing, emailing, SEO, etc. Objective is only marketing. Whereas Information Technology is a Macro, Ocean of Computer, Peripherals, Applications, Internet of Things, etc. Include Hardware, software, etc. Objective is a Using Computer & Internet for various uses.

No, you are not eligible to apply for M.Sc forensic science.
Because those who pursue engineering or some other science courses are only eligible to pursue this PG.

The link below gives you the list of top BCA colleges in India:
https://www.shiksha.com/it-software/ranking/top-bca-colleges-in-india/96-2-0-0-0
You may filter the list and can view the government colleges from it. All the best.

BCA is a degree which involves a lot of programming languages. It is not as beneficial as B.Tech, but if you want to get placed with high packages, then you can pursue MCA in top colleges after completing BCA.

Government institute is better for pursuing engineering because government institute provides good quality of faculty members, good course curriculum, good placements and good infrastructure also.