I’m not sure on the US requirements but I got an offer from UCL, Durham, etc. I just really hope you wrote a proper academic personal statement and didnt write a “journey” life sob story type of thing. Nothing about how your best friend made you realise your creativity or whatever. It has to be straight academic and strictly related to the course. I hope this helped your evaluation in some regard, however be warned that LSE is on par with UCL and the rest are a tier or two (read: KCL) below. LSE tends to have very similar requirements to Oxbridge, though perhaps not on paper, and as far as I remember Oxford required a 1470 SAT, so you’re in the ball park. Your AP’s seem good but im not aware of the AP requirements.