BCA

Building a game depends more on your technical skills rather on which course you pursue because the course curriculum of BCA don't equip you with sufficient technical knowledge to build the game , so focus on technical knowledge and master any key languages like PHP, java etc

Follow the link :
https://it.shiksha.com/bca-colleges-in-dehradun-categorypage-10-100-46-0-0-73-133-2-0-none-1-0#cateSearchBlock

Please check the link :
https://it.shiksha.com/bca-colleges-in-indore-categorypage-10-100-46-0-0-106-113-2-0-none-1-0#cateSearchBlock

BBA sure would be better. As it would give an idea that you had clear perspective from beginning and MBA was aim not an accident. Now when it comes to colleges chose one offering good placement. You can also go for a dual degree course in Premier colleges like LPU, KIIT,SRM,VITU etc. But i would suggest looking for dual degree programs in IIMS if it is not too late by now.

since u r weak in mathematics,i think u also weak in program coding.
mca and msc it.both required mathematics knowledge.without logic u can't do anything.
if u are medium or gd in eng communication then u go MBA IT.

Dear arsh
yes choosing merchant navy is a good career option.since you are from a IT background i would suggest you to go for masters in your subject,as we are leaving in an era of IT where the demand of IT is very high.you can have look at some of the colleges .i have heard that they are doing well in this discipline.
KIIT university
Thapar University
LPU
Delhi University.
lpu is having a good placement record from last few years.CTS created a record by selecting highest number of students from a single campus.
this data is based on my personal preferences.choose carefully.
good luck

BCA
1) AIMS Bangalore
2) Prestige Institute of Management and Research Indore
3) IIMC Hyderabad
4) Satya Institute of Media and Management Lucknow
5) Aryans Group of Colleges Mohali
MCA
1. Department of Computer Science University of Pune
2. School of Computer and Systems Sciences JNU New Delhi
3. School of Computer and Information Sciences University of Hyderabad
4.NIT Trichy
5. Birla Institute of Technology Jaipur
6. NIT Surathkal

Candidate with any stream can pursue BCA provided h/she has English as a compulsory subject in class 12th, so definitely you can pursue BCA
Some universities also demand maths as a subject in class 12th