After this, I'll let it rest - they've been helpful enough. But I did mention that I couldn't use the social sharing buttons in the first place because my static site generation plugin breaks them. Not their problem to solve but a use case they might not have considered.
Mostly #Wordpress, yeah, assuming they're not just hosting on the existing Webtoon/Tapas/ComicFury/etc infrastructure.
If you want something simple but customizable, give #ComicFury a try. (It's free, so if you don't stick with it, no loss.)
If you go with WP, get the #Toocheke plugin+theme combo. It's versatile, pretty easy to use, and actively being maintained.
Some creators also swear by #Grawlix. And #ComicControl is a new one in development that looks promising, but I'm not sure if it's available for beta testing yet.