I don’t work in support now, and don’t have the same access I used to have to the support system. So, email support from this page:
If you’re signed in with the email you use in the forum the contact page should know that you have a classic license, and the Message Us option should work. If it doesn’t work, even when you put in your serial number, send in a message to customer service on this page:
Explain about how you didn’t remove the license before formatting the old computer. You don’t have support with SketchUp, but hopefully they will still try to fix the problem.
One thing you can say is that I looked at your license, and there is something strange, in that it has 4 activations, and two of them don’t seem to be you.