Hi chaps, thanks for bringing these issues to our attention. The PS Vita cross-play functionality was a major change to the online implementation, and this may well have introduced unforeseen issues. Although we obviously thoroughly test all areas of the game here before anything goes out, there are so many different possible setups of routers and internet providers etc, that it is really easy for certain online scenarios to fall through the testing net.
However, I'm happy to say that we are already hard at work on our next patch, and we intend to resolve as many of these problems as we can, in particular the disconnection issues as I realise that can be a real pain when trying to get a game against someone. In the meantime, any info we can get on specific cases of these problems could be really useful in helping us diagnose them, so please continue to report these in the Bugs section of this forum - the more info you can provide the better.