Etsy is enforcing policies in light of the current climate surrounding shootings/weapons as well as shipping issues involving batteries so if it was a battery cover, it's hard to tell what the actual trigger point for deactivation was.
For your shop, I don't think you're dancing around the rules on several of your items, you're actually in violation/trademark infringing unless you've got licensing permission which should be displayed. I mention this only because once you're on the radar for one deactivation, no one knows how many more (or if the three strikes you're out policy still exists) to the point where you would never be able to have an Etsy shop again. I'd suggest taking a step back and examining where you want to go with your shop. A theme is great, especially going into the holiday shopping season and I know there's a market for your products, you just need to do it without the brand names and logos.
