I then tried going through Tools and Online Publisher but it stated I do not have any collections backed up yet.
If you didn't use that feature to backup your file on our server, then it's normal that there's nothing. I checked our server, and indeed you don't seem to have ever used the online backup feature.
Still not sure what to do.
Sorry, there's no magic, if you didn't make a backup somewhere, the only thing you can do is have a look at your old computer disk and retrieve the coollection file from it.http://www.coollector.com/help.html#coollection
You said that your old computer crashed, but probably the hard disk can still be read if you place it inside another computer. Have you tried it? Maybe you know a friend who can help you to do it?