the license server rejects it

In 2013, I registered a Parallels 13 license and it was installed (until last week) on an iMac 27" (2009). Now, my iMac (2009) died but the information can be accessed. I also have an iMac 27" (2013) and I migrated all the information from "iMac, 2009" to "iMac, 2013", with success. Everything...