I moved the site to a temporary server after the second outage, though it wasn't possible to get the traffic graphs working on that server. I then started work on moving the site to it's final server, a much more powerful and reliable server that should have fewer problems.
This post is basically to say that it's there, up and running on the new server with traffic graphs and all. There should be no more issues with the site being down, but let me know if you see anything.