There's a good reason why you've received four rejections. If you've flunked on the BMAT, you've eliminated Cambridge and Imperial. If you didn't get practically straight A*s at GCSE, and have a fantastic PS, you've eliminated Edinburgh. If you don't have a fantastic PS, you've eliminated Southampton. Being predicted four A*s isn't going to let you 'pass go' and get straight into medical school; mainly because there's been a gross overestimation in the number of people being predicted A*s.