Which bank are you with? The concept of branch is gone for most of them as most processing is centralised except for some unusual transactions.
Nope.The only time it was an issue was if I lodged a foreign currency cheque, they had to send in the internal mail to my branch. This was back in 2008 so I'm sure things have moved on since then.
Incredible!Nope.
So if I have a cheque to lodge ( which I will have soon), could I use the branch that is now nearest me without going to the branch holding my accounts!