Please tell your guardians that, unlike a cat or dog, a rabbit can NOT go without eating - they have a very different digestive system than other household pets! Just 8-12 hours without eating and/or pooping is a serious medical emergency that can very easily become fatal. If you just got him, the diarrhea can, indeed, be stress-induced (or caused by a shift in diet between the hay/pellets he was eating before and what you're feeding him)... but combined with not eating, it's definitely cause for an immediate vet trip. Unfortunately, being New Years and all, that's gonna mean emergency vet.
While the vet really should be a MUST and is your rabbit's best chance for survival (he may need sub-q fluids due to dehydration and metoclopromide to keep his gut moving, among other things), I realize that as a minor, the vet issue is ultimately out of your hands.
Some at-home remedies you can try:
~ Probiotics, if you can find a place open that sells them (pet stores and/or feed stores sometimes carry a pet probiotic... Bene-bac is the most common brand)
~ Syringe feeding (not recommended if you suspect a blockage, but in your case I'd try it since the lack of poop is probably due to the lack of eating). The best syringe-feeding option is Critical Care for herbivores (sold by some vets, pet stores and/or feed stores). The second best option involves running pellets through a coffee grinder to powderize them, then mixing with hot water to get the right consistency. If you don't have a way to grind the pellets, put some in a coffee cup or something with some water and heat in the microwave until they're soft enough to mush up. You can get a syringe at most pharmacies (or the pharmacy dept of a grocery store).
This is a great video on how to safely syringe-feed a rabbit.
~ Make sure you're also syringing extra water (or better yet, flavorless pedialyte - make sure it doesn't have any artificial sweeteners in it) to help hydrate your bunny.
Again, though, your rabbit is exhibiting all the tell-tale signs of GI stasis, which (when untreated) is probably the #1 killer of pet bunnies. It really, truly is cause for an immediate vet visit.