Teething, diaper rash, and injuries

We are in full teething mode. M has been working on 4 yes, FOUR molars at once for the better part of a week. And whenever these girls get teeth, they always, ALWAYS get horrible diaper rash to go with it. I've read that babies' saliva gets more acidic to help break down the gum tissue for the teeth to break through. Unfortunately, this also affects um....other parts of the GI tract. And her poor little gums! They are opaque, bulging and look bruised! I wish I could massage them and help that little toofie out.
M is also kind of our little scrapper. She regularly gets stuck (can't take her to a store without having to "save" her from having some appendage stuck in the cart), smashed, wrestled (by E), fingers closed in drawers, etc. etc. Then she cries, gets comforted, and keeps on going with a smile and more determination than ever! Here's a picture of her first black eye, a self-inflicted wound with a board book