That’s great news, and I’m glad you were able to get the data.
First of all, go get those pictures while you can, then worry about getting a blog back up!
Simon has a good idea about wordpress.com; if you have the pictures, the worst case scenario might end up being you have to manually add the pictures back.
You may want to search these forums, and the codex.wordpress.com site,for more information about “moving” or “migrating” WordPress, as pictures “hard linked” into posts will have your old URL in the “img src” tag, so you may have to do some editing. There is some discussion of that in previous “moving wordpress” posts on theses forum and on the wordpress.org forums, as well as descriptions of the whole process involved.
Actually, I think the wordpress.org codex and support forums do a much better job of explaining all of this than I do, so at this point, since you have your data, I suggest taking a break and doing some reading so you understand better what is involved in resurrecting a WordPress blog on another host.
This is also a good time to review the phpMyAdmin documentation re. importing/exporting data from MySQL databases. Once you get a better grasp of what is happening, you will be better equipped to develop a “redeployment strategy”.
All that said, with the database export you have, and the downloaded contents of wp-contents/uploads directory (or wherever on your server your uploads were stored), you will likely be able to rebuild the whole thing.