Ah, ok, sorry for the misunderstanding. 😟
So the DVD is basically useless now, and we're back to the beginning, right? (It sounds like you'll need to get the DVD drive repaired (getting an external USB DVD drive might be less expensive. But that's for later.)
Your Mac does start ok normally now (without the DVD), but you don't have your stuff from the backups, right?
If so, let's see if we can get your data from the backups via Migration Assistant.
First, what user accounts are now on your Mac? I suspect the repair shop set one up, and you may have created another. If you created another, did you use the same name as any on your backups? If in doubt, look at System Preferences > Accounts for a list.
Have you added any data you need to keep to any of the accounts?
How many user accounts did you have when you did the backups?
EDIT: Just to confirm, are you sure you're still on 10.6.8?
Message was edited by: Pondini