Timed out before I could author this addition ...
Did you do any recent backups of the 1.9 courses before they shut you down?
IF so, you have an option ... in the moodledata directory there are course ID directories ... 1, 2, etc.
1 is your front page and that cannot be restored so forget that one. But, it might have pics that you uploaded and displayed on front page so get those (SCAN THEM with AV).
The other #'d directories might contain backupdata/ directories and inside there backup.zip files.
Ask provider to clamscan them. Download those for sure. **SCAN THEM again when/after downloading as clamscan AV definitions may not have been up to date ** for virus as they might contain truely infected files ... word docs, pppts, PDF's, even image files. Remove infected files.
If the backups are clean you could wipe out ALL of Moodle ... data directory, code directory, DB and install a fresh/new 2.9 or whatever 2 Hostgator can host. Then you could try your luck at restoring those 1.9 backups.
Catch 22 ... student accounts won't be returned to the new, that means their work, quizzes, grades, etc. are also gone, but you'll have the majority of your courses back.
'spirit of sharing', Ken