I think KCL is slightly higher than Notts becuase of its reputation, but then again Notts is a really good university. Both are well known. However, I don't see how Manchester can be ranked higher than KCL or Notts, its not that much of a good uni, and it will not be ranked in the 5-10 in the next couple of years. For Law I would consider other schools like Warwick and Durham too, instead of Sheffield and QM.