CBSE 10th

Yes, you are eligible to apply in Great Lakes.

Yes, you can get admission in this college, but you have to apply for the polytechnic entrance exam with a good score.

Yes you have a high chance of getting into an IIM with that rank.

Firstly, you have to complete your class 12th from a recognised board.

Your GMAT score is fine, means (Good > 630 > Average). Your college, class 10th and 12th score is also fine. Now, depending on your non-academic profile and job experience, I would suggest you to apply for some other good college as well. IMT (it is not specifically mentioned) doesn't accept GMAT but they do accept CAT and MAT. Anyway, IMT is good and so your profile, but apply for other good universities as well.

Yes dear you can get admission. All the best.

Not more than one year gap is tolerated anywhere in the industry. If you have 1 year gap then it is fine but 2 or more years are not valid and will lead to rejection.

Yes, there are many schemes and facilities given by the government of India to the needy family to avail and to complete their education and higher studies. You can check more this on official government of India website portal to get more information. Best of luck.