Hmm.. thats interesting... There is no 'bar' near Uncle Tony's for the waiters or guests to walk to get mixed drinks, so I don't know if this would work for any of the 'Beach' brides... in fact... You can only get mixed drinks at the actual bars, not in the restaurants at the Beach hotel. You can order beer or wine from the waiters, and you can bring your mixed drink with you from the bars into the restaurant, but you can't order like a rum and coke at the buffet.
I do remember one past 'Beach' bride who said they handed one of the waiters a large tip and asked if he could do 'drink runs' for everyone all night, and he did go 'somewhere' and get drinks for her guests all night.
Future Beach brides, I would head to Uncle Tony's before your wedding day, talk to the staff there and see if anyone is going to be working your wedding and ask them if they would do that for you. The staff (and everyone) in Jamaica are looking for ways to make some extra money so I bet they would totally be up for it. If not, you can always tell the WC later that you decided you 'will have the open bar afterall'.
At the reception, wine and soft drinks are served. But to be honest I think they will serve any drink you order as we were having kir Royale, Shirley Temples, Rum and coke etc. My guest were just ordering what they usually drink and it was no problem at all. But I think the official status is wine and soft drinks