We just moved to a new home today and he was fine all day. Now that we're settled in and trying to go to bed he keeps gagging and licking his mouth CONSTANTLY (like he has something stuck in throat or mouth) and he already threw up twice (in a 5 minute span). I can tell he is veryt ired because he keeps dozing off and his eyes close slowly and then his gag/ jerking motion wakes him back up. He can't seem to sit still either. His vomit is yellow and foamy and I can see his food in it. He also just let out a loud fart (no laughing matter, but it was kind of funny). Please help!

The dog seems to be in obvious distress so this is one for your vet.

There are a lot of possibilities as to what may be wrong with those symptoms, some minor, some very serious. We cannot diagnose here so you will need to get the dog in as soon as possible for a physical exam.