There's always the possibility of also restoring the db files, but that can be complicated in case the MySQL version is different.
A db dump in a SQL file would be the ideal, but I suppose you only backed up the wamp server, from what I understood from the thread at the wamp forum.
I have teamviewer and may be able to help you later. Send me a PM when you get back home
We will need to find the db binary files and put them back on your new wamp install and pray for MySQL not to be a different version or at least that it reads them without problem.
OK, you can try this yourself.
Note the version number on the folder name. You should have 2 mysql version folders inside C:\wamp\bin\mysql\ now that you copied your old files to the new instalation lol
Copy the dir that has your db name that you'll find inside "C:\wamp\bin\mysql\mysql5.X.XX\data" from your previous mysql folder to your new mysql folder and that should be all you need to do(or not, depending on some other factors)
The above is getting confusing, so let me try to put this into some nice steps.
1- Fire up your new wamp server installation
2- Create a database with the same name and password as the previous one. You can find that info on the wp-config.php file
4- Stop wamp
4- Go to your wamp backup and search the \wamp\bin\mysql\mysql5.X.XX\data\ folder.
5- Inside that folder there is a folder with your db name. Copy it.
6- Paste the folder you copied into C:\wamp\bin\mysql\mysql5.X.XX\data
7- Start wamp again and check if your project is working or not
In any case, I can always help you with teamviewer when you get home, if what I said above doesn't make much sense to you