Does not appear to be a hosting issue, as your site is up and functional despite displaying something other than what you intended.
It's difficult to know exactly what's going on without seeing your admin panel, and I'm not an expert, but at the bottom of your customization menu, there should be an option to add a "static front page." This should allow you to use one of your pages as the front page. You can set it to display your recent posts, or to display a page that you can create in the "pages" area of your dashboard. Setting the option to your "comic" page should give you the desired effect.
Also, just out of curiousity - I noticed that you've got no menu under your header, or no pages on your menu. Are you planning to use one, or just use widgets entirely? I've also noticed that the widgets you have present allow navigation through your blog posts, but not through the comic pages. You may be aware of this already, but comiceasel gives you page navigation widgets that you may want to put somewhere.
I'm not sure if I'll be able to help, but if you can provide a screenshot of your "comics" section of your admin panel (removing anything you don't want us to see, of course), we'd probably be able to better spot what the problem is.
Edit:
This is my site, in case you want to poke around. It's not fancy, but it IS functioning properly, with ComicPress and ComicEasel installed. Let me know if there's anything about the setup that coincides with the setup you're trying for, and I'll let you know what settings I have to make it work properly.