You have to set boundaries. She’s going to keep on doing it until you teach her not to, and she’s more likely to do so to other people as well.
Give a sharp “Ow!” and do it in a high pitched voice. Then give her a sharp “No!” Then the play stops. You’re giving three types of reinforcement there - the yelp is for letting her know she hurt you (do this even if it didn’t hurt), saying “no” helps her to understand what she was doing was not the correct behavior, and withdrawing the fun is the punishment part.
It sounds like you also might need general obedience training. If she’s good around other dogs I’d consider obedience classes where you can work with her under the guidance of a trainer.
You can try training her on your own, too, but get a good up to date book on training. Use treats for positive reinforcement. At a minimum, for her safety and for yours, she should learn the commands for sit, stay, and come. I’d also do “give” meaning she has to let you take the stick (or whatever) out of her mouth, and I also like to train away food guarding behavior (you should be able to pick up their food bowl while they’re eating and not have them bite or growl.
The cat poop one is not a fight you’re going to win, but the rest of it should be solvable. At the very least, if you catch her going for it, a sharp “No” and calling her back to you to get a treat should work, but she is going to keep doing it if she can get away with it. I’d start with the basics and then work on the poop eating.