Nah if they're going to fine you it's issued there and then, if you're too drunk to understand being fined they'll stick you in the cells for a few hours till you're sober enough to be fined/charged :P By the sound of it they're just happy yr BF showed up and left you to it.
Doubt it would be recorded for DBS purposes, and even if it was what's it going to say? 'Argued with bouncer, went home' not exactly scandal, arguing is what bouncers are FOR.
(I think the only way it could comeback to bite you is if someone wanted to actually press charges against you, such as the club for damage or verbal abuse or something, but no, they're not going to do that over a bit of drunk lip, that's for folk that smash the place up and fights and such)