Sorry, I can't help with that one. I am about to have my third c-section at Stafford which has been on the news recently for being so bad. I had both of my other babies there during the height of the problems. I can only say that on balance I have decided to go there again becuase it is considerably closer to our house (10 mins away as opposed to 45 mins for Stoke) and it will make things easier, especially with having two other children to think about.
Hopefully someone may come along who has just delivered there and can let you know what its like.
It's up to you where you choose and you certainly have the right to change your mind and ask to be transferred to care elsewhere. I agree with Moondog though, it may well be better for delivery if they are being monitored. Why not ask if you can take a tour around and get a feel for the delivery side a bit more before you make up your mind?
I disagree, I think if they can't get the paperwork right the odds of them getting something important wrong are higher.
I was initially booked into Leicester for my first birth (until I moved in with dh 3 weeks before the birth) and they were the same, booked me at the wrong hospital, sent me for appointments to which I turned up and was told 'I don't know why they've sent you', etc etc. Surprisingly enough Leic hospitals do in fact have higher than normal rates of stillbirth too. Of course there may be other factors, but I think sometimes you get all-round crapness.
In theory they would be running round trying to improve but it doesn't always work that way with schools (they often get put in special measures or given notice to improve twice) so why would it be different with hospitals?
Kick up a fuss and demand to be moved back to the one you feel confident with.
I also disagree with Moondog, I wouldn't want to gamble that in 6 months time they will be well on the way to a massive improvement. Particularly given you already aren't that happy with them, I would try and change. If it was just one admin glitch then yes, noone is infallible, but it sounds like a series of people getting things wrong with the admin.