1.Go to the counseling please and secure seat if available, you can opt for better college during second counseling if available(they always are).These things are hard to predict beforehand, and things this year are especially strange considering the recession and a lot of new colleges getting affliated to IPU.
2.No idea about the college preference, depends on you a lot tbh.But as a thumb rule govt. uni. run colleges>>private and lesser fees afaik.
Could have helped a lot more if it was about B.Tech or BCA.