BCA

I think, you can do BBA instead BCA why you don't have a mathematical background but in BCA mathematics is important.

If you not want to do any master degree of two year then go for the certificate programme. Or, you may opt for such course which is career booster or soft skill development. These are the options available currently for you.

Yes, you can opt for BCA through distance education.

Yes, you can apply in BCA. You can apply to businesses involved in IT and ITES segments both in the private and public sector. With your BCA certification, you'll also be eligible to apply jobs to companies and organizations engaged in other commercial segments including but not limited to banking, energy, telecommunications and engineering.
The salary for BCA freshers by company:
HCL - Rs.240,000 - 280,000
TCS - Rs.267,000 - 320,000
Cognizant - Rs.265,000 - 300,000
Aricent - Rs.290,000 - 315,000
Microsoft - Rs.300,000 - 360,000
Wipro - Rs.275,000 - 325,000

Yes, you can get admission in NITs.

Tuition fee - 64793
Registration fee - 6475 (only in the first year)
Other fees - 3237
Total year wise - 74,505 68,030
Grand total - 2.11 lakhs

No, SRM University doesn't conduct entrance exam for BCA. You will have to fill the form which is available in SRM website.

For NIFT Master's degree programme, you need to have a Bachelor's degree recognised by a valid university in India. You can apply for a Master's degree with BCA that will be beneficial rather than doing a double graduation. However, the competition is intense and hence it is advised to prepare for the same before taking the exam.

Hi,
It's better to go for B.Com and CS. Both are in line with commerce background. Moreover, with the open options of pursuing Masters after completing your B.Com either M.Com or MBA, it is better to go for the latter combination. BCA plus MBA is also good but not as remunerative as the latter combo.
All the best.