Can't listen, no flash player available for this old computer.
But, incorrect notes indicate a need to slow down. First you circle the incorrect notes with a pencil. Then you play that measure slow enough where you can play it with the incorrect notes, corrected, over and over again. If you can play twenty times in a row correctly, maybe you can speed up a little. Still incorrect, slow down some more. If you can't play correctly with two hands together, play one hand alone until the measure is correct, and so boring you have memorized it. Then you can string several measures together around the incorrect passage, always slowing down if anything is incorrect.
Playing correctly isn't something you think about (except to recognize the error); it uses the part of your brain that you learned to walk with. You don't think conciously about every step, do you? Learn the piece with that part of the brain.
When your lower brain has the muscle movement learned well enough, you can speed up a little. Going from quarter note =30 bpm to 40 bpm totally correctly is a lot harder than going from 50 bpm to 100.
A bonus to learning a piece this way, your lower brain has memorized the piece, you only have to think about repetitive passages in the right order to completely memorize it. I can play pieces by memory I learned 40 years ago, just one time through with the sheet music gives me access to all those movements I learned as a teenager.
Good luck on the exams.