Would entering law school with a degree in International Relations be good?

I have applied to many universities, most notably George Washington U, Vanderbilt U, NYU.

Cost is not a factor for me so I am sure I will be going to one of those.

Would majoring in International Relations be a good tract into Law School?

You've applied to many universities as an undergraduate (those three you listed), or you've applied to those law schools?

I.R. is a fine major if you're going into law school directly. Just be aware that there are nearly no paying job opportunities for people with B.A.s in the field. If you change your mind, you're in a terrible position.