The EU parliamentarians are paid well, but I think there's a staff quality issue here and that UK MPs are actually underpaid; for the hours and responsibility, it's basically a company director level job.
(Of course, the only people that take EU pay and deliberately do a bad job or fail to turn up are ... UKIP MEPs)
Edit: I missed your reference to "proportional representation", which of course we don't have in the UK parliament either. Which is why the government was able to be formed with only about 42% of votes, plus a veto of the 0.9% of DUP votes. We have a semi-proportional system for MEPs, though.