Nope, no one on your list will mind a few inverts. In fact, you might want to look into getting some shrimp--with preference for those which will act as cleaners but will take prepared foods. They would help keep your tang healthy.
Blood shrimp are great, and are happy in a group of 3+. Snails, hermits, ect are fine. Avoid getting the larger hermits--they tend to be abusive of snails, and knock things around. Not as big a deal in a FO tank, but still annoying. Red knees and blue legged hermits will be okay, though the blue might go after smaller snails. Try to avoid getting starfish that get big--I've seen crown of thorns for sale, and while they are cool, they get to be 18 inches!
HTH