Bank Reconciliation for AR

We are trying to setup bank reconciliation for AR. How are deposit adjustments typically handled that come in from the bank? Can we adjust the original deposit once it's been reconciled and tie the adjustment to the new bank statement transaction?

Also, can you automatically reconcile a transaction and not have it create an accounting entry? For example, we have ZBA accounts, so we want Cash Management to auto reconcile the bank statement transaction and create an accounting entry to move the cash only for one side of the transaction. For the pool account, we do not want to create the accounting entry because it would then be a double posting, but we do want it to reconcile.