I’m not a massive X-Men fan, but the adamantium skeleton is a misnomer. It coats his actual skeleton, and in one storyline is ripped off of him, and he still has a skeleton and more fragile bone claws.

He also has basically unlimited regeneration (well, there may be a limit but if there is it’s a ridiculous limit) which would definitely cover the blood thing anyway. Also the problematic park: where does all the energy/mass for his regeneration come from?