There has been a lot of problems with acccess all over the servers, but it seems to be acute on the EU ones.

Why is that? My guess is because there are so few of them. Count them. EU in total has SIX servers (including 1 legacy server. Compare that to the NA servers, of which there are NINETEEN (4 legacy) and the japanese who are TWENTY-FIVE.

There is also a problem of language. EU is not mono-linguistic, and I would advice having at least one server each for german speaking players, and one for french players, is a necessity.