I presume you want information of a colonial Carribean tavern because I'm not sure there were too many indigenous-owned (or run) ones. As in every British style tavern, drinks would flow freely and there was serious racism and discrimination so you would not see a very cosmopolitan crowd inside.
Tolerance for fighting - not really. I mean, bar brawls were really often because people drank until they dropped, particularly in the Carribeans since there was so much alcohol available and most people were sailors! Local fights in the corner, not so important. But they could easily degenerate into fights inside the whole tavern and that would cause serious problems for the innkeeper. Sometimes they were put down early but there were ocassions were rare. However, they were localised incidents, aka guards wouldn't intervene. And apart from the local police, nobody had the guts to break up a full "pub brawl".
In a sense, taverns in the European world did not change much from the Middle Ages, apart from the drinks served, architecture and other options such as lodging and other facilities (stables for example). Every fighting and necking was sorted out within the pub itself until they broke up or many of them were knocked out of the fight. I do believe (not sure on this one) that deaths inside were really uncommon. Only cuts and bruises.
Hope it helps.
Specifically, I need to know the tolerance for fighting and necking, but any information on tavern behavior (good or bad) is welcome and wanted. 
Thanks!
Just asking to be sure, but are we thinking of the same definition of necking? I mean necking in the sense of making out. 
