People are saying be cautious with the LNAT, and they're right (didn't work out first time around for me when I applied to 3.)
But I did the same again, and it worked out.
If you're going to apply to a few LNAT unis, make sure you're actually going to do well (i.e. practice, buy a book on it and make sure your essay writing skills are good.)
EDIT: Didn't check the intial date of the OP. Please imagine this post back in the days of yore.
I would have expected you to get a QMUL offer, KCL probably, Bristol probably (dependent on LNAT,) UCL heavily dependent on LNAT (as in, if you didn't get... 30+? I don't think you'd have been given an offer) and LSE I wouldn't have expected you to get an offer (purely because they demand almost perfect GCSE grades from what I've heard.)
Please update this thread at the end of the year with what actually happened though, we'll be able to see what those unis actually look for, because your GCSEs are quite good, A-Level predictions too, so it'll be interesting.
EDIT II: Also, should add, well done on getting into QMUL, if nothing else, you're into a top 10 Law School.