LNAT Help - international applicant who doesn't know what she's doing....

I am an international applicant and I don't know anyone who's ever done the LNAT so I figured I could ask here!
My LNAT is in about a week and I'm just wondering whether I am in a good place or not. I have done a bunch of practice papers from a variety of places - I tend to be averaging around 27-28 on Arbitio, got a 30 in the simulation, and usually around 36-39 in the book I have (sorry I don't have it on me, I don't know which one it is!). In terms of the essays, I've done a little less of those and haven't sent any to tutors yet but I have been reading through some that I've found online and have been trying to mirror them.
I have no idea whether this is a good place to be in or not - I am applying to Oxford, LSE, UCL, KCL, and Edinburgh so most of them require the LNAT and I have no idea what I'm doing! I would appreciate any guidance whatsoever...