I have 2 years of gap after my graduation. Am I eligible for placements after completing PGDM?

Yes, you are eligible for placements because it depends on your performance in PGDM but be ready to justify your 2-year gap because some companies may ask what were you doing during that time.

Yes, you are eligible for placements. A lot would depend on your performance at the PGDM level.

Yes, it depends upon your capability and performance and how much you perform to get a good job.

Yes. Although you might be at a disadvantage, so you would want to show something that can show that you utilised this time to do something constructive.