I think the "official" .gov recommendation is 3 days for leftovers. I'll generally go 7. The safety of this though will depend in part on your food handling like how quickly you cool your meat after pulling, etc.
Pulled pork usually last about three days, it's usually gone after that, But if not it freezes really good,I don't like to vacuum-seal it I think it changes the taste some. Think it makes the smoke more intense some way.