Having a functioning instance of moodle and having backup copies of your site/classes are two different things. If you have a backup of your site, and your classes, your data should be fine. It is most likely located in subfolders of the moodle/uploaddata folder, with "moodle" being whatever directory you specified for the moodle application to reside at when you installed the software. My "moodle" folder is usually "public-html."
Once you access those backup files, you should be able to
upload them to almost any instance of moodle (of the same or similar version) and restore the data that you backed up.
If I were you I would do the following: 1) get your new moodle application running by making sure that all of the application files are copied and that the
database is connecting. 2) find your backup files and restore them into the new moodle installation.
Let me know if this helped.
Daniel