Robin's purse vanishes from the bicycle basket between when she leaves Stella's house and when she arrives in NYC.
When Ted carries in the beer box and sets it on the table, it's obvious that it is empty.
Ted and Marshall go to a grocery store to buy beer in New Jersey. It is illegal to sell alcohol outside of liquor stores in New Jersey.
Ted and the gang are shown riding MTA trains back and forth to New Jersey, but they do not go to New Jersey and are visually distinct from NJ Transit trains that do.