Can we get photos of these areas as well. I don't know if you're being literal, but taping down a nest box hatch is not going to deter a raccoon from lifting it. It sounds like your latches need to be switched out for something more secure.We have a side door on the coop with a slide latch that gives us easy access to the eggs in the boxes. I taped that down. The coop top opens up but it’s heavy, even for me. I can’t imagine an animal lifting it.
The problem is chicken wire is simply not strong enough to stop a raccoon. How is the wire attached to the run frame. If strictly staples, that is not secure enough no matter what type of wire is used. You mentioned having "boarding around the bottom of the shed" - what does that look like and how is that attached?Here’s a pic for reference. This was a year and a half ago when we moved them to the coop, so it’s changed some. It now has a wood roof. There is also boarding around the bottom of the shed and fencing because something kept getting in, just not killing any chickens (any ideas on that?
The raccoon pushed through the wire on the bottom, and I’m assuming that was the entry point and it looked like it pried back the wire behind the shed and left. Their chicken wire is now boarded down, stapled. It seems unlikely to get in.
I don’t think digging is an option. The ground is hard as a rock.
You also have no apron to prevent dig ins but you said the ground is hard. Have you seen any signs of attempted dig ins? What's on the other side of the wood fence?
Up to date photos would help, it's hard to assess the security of a set up when we cannot see how it currently looks.