>>> Can you please send me the product key so i can get startet Elements 8 on my new computer ?
Much better if you keep your own records of your serial numbers for times like these. I store mine in text files in Dropbox. You've done well to store your Elements 8 disk for all these years - always save the serial number with it. That's the most important bit.
Unfortunately, relying on software vendors to store your records for you is fraught with danger and may end in disappointment.
Sorry I cannot help with locating your number. If it's not in your Adobe account then it's probably lost.