I also applied for Law with offers from both Warwick and Nottingham. However, I have decided to firm Warwick.
I've visited both universities twice and they are both amazing. With regards to law, I think Nottingham Law School is better if you want to practice it after your degree, but Warwick is equally as good because of its general reputation.
I hear Warwick social life is ok as it's a bit of a "bubble" and it's quite in the middle of nowhere, whilst Nottingham is a bit more social and has the city close by.