I keep a bunch of work clothes at the office, plus hair goo and deodorant. I'm usually pretty sweaty & sometimes dusty when I get here in summer, but find I do fine just cleaning up at the sink with a microfiber towel. My hair is chin length and curly, so I usually wet it in the sink or spray some water on it and scrunch it up to refresh the curl. Use the hair goo if it's too frizzy. (I like Bumble & Bumble products - pretty good for curly hair.) I have a wet head for the first 15 minutes at the office, but no one cares.
Don't wear makeup, just sunblock, so can't help you there.