Definitely, please, do some searching around this site on those topics and look in the build threads. It's been talked about many many times on here. The answer to all of your questions is--It Depends.
If you want to run all of those things of solar, they will have to be very efficient models, the AC will have to be a heat pump type, and the dryer cannot use electric heat. The fridge should be extra-efficient, too. Even then, its a lotta juice.
You're gonna need at least 15kwh of storage in a lead-acid battery. 7kwh if it's a lithium battery, but they are $$$$. The more the merrier. And at least 1200 watts of solar panels.
I think realistically, you could need from 50-100% more than this, depending on your bus's insulation, how cold you want it, and the specs and use of your appliances.
Learn the power equations and how to figure out your loads and needs on your own. Teach yourself to fish, lol. That is the only way to know for sure and even then, the real world is different than on paper.
How do you want to manage waste? If you want tanks to to hold your waste, build tanks. If you don't use a composting toilet or incinerate your turds, you'll need a black tank for it. If you only will have sink/shower waste water, you'll only need a grey tank. If you'll always be parked in a field, you don't need no stinkin tank.
But seriously, I recommend searching the build threads and forums. You'll learn a lot there.
Patina enthusiast and professional busman