In terms of your essay problem:
The exact same thing happened to me. I ran out of time, wrote like two paragraphs and thought that what I'd written was complete s***.
However, when I asked for feedback as to why they'd rejected me, Oxford said that they'd judged my essay to be in the top third of all who had applied (It was multiple choice that let me down). So, either everyone who applied to Oxford this year suffers from dsylexia and can only type with one hand due to a war wound - or my essay was actually good and therefore you shouldn't make a judgement about yours either!