Engineering

You can use this tool to compare both these colleges:
https://www.shiksha.com/resources/college-comparison

Osmania is better than JNTU as it has bigger alumni network, it is older and good placement. It is very hard to say which one is best as both are good.

Thapar University is more better than Japyee-Noida in CSE. Average placement is nearly 6 lacs in Thapar whereas it's 3.8 lacs in Jaypee Noida. Also, NIRF ranking of Thapar is very good.
Infrastructure wise also Thapar is good.

You might secure a seat in private colleges. Rest you should look out for the cutoff to be sure.

Hello Rajeev, Many students desire to shift to another college mid term. However, if your current college is private then it feels it has lost so much revenue hence they will not allow. However, theoretically it is possible to change the college within same university. Best wishes to you.