I'd have thought you'd manage 4hrs + test in 4 weeks. Get some intensive lessons booked while you have time. Book three times as many as you need and always at least 2 hours at a time. Also book at least 3 flight test slots if you can.
Having worked in Leeds for a few years and observed the students (in more ways than one) and their habits, I'd say you'd probably fall foul of the '8 hours bottle-to-throttle' rule for your entire time at uni.
If you do leave it until you get to Leeds, have you decided where to fly from yet?
As for the money on account, you are probably in a better position than anyone else to judge the moral standards of your current school. If it's a club as you say, with a membership, they'll probably want you to stick around and rent aircraft from them after passing, so I'd have thought they wouldn't want to rip you off. CZ's point above is worth watching though.