This is not Adobe. Rather essentially a user to user forum. Your thread is presently appearing in the Adobe Premiere Elements Forum.
As far as I have ever seen, registration is not the same as product activation (requiring a purchased serial number) although the two often take place at the same time.
You need to deal with what you have - a purchased serial number and installation files or installation disc. Since you have Premiere Elements 9, you are far beyond any warranty for the product which is now within 14 days of purchase from Adobe direct as a download.
It would appear to me that you path would include trying to troubleshoot your situation by going through the usual drill....
1. Are you sure of the serial number that you are using? Is the serial number that you are using displaying with your product in your account at the Adobe website?
2. How far do you get in the Premiere Elements 9.0 install? Did you do uninstall/free ccleaner run through (regular and registry cleaner parts), reinstall with antivirus and firewalls disabled? Have you included the 9.0.1 download and install. That can be done with the program closed. For Windows Adobe - Premiere Elements : For Windows : Premiere Elements 9.0.1 update
3. Are you running the programs as administrator (from user account with administrative privileges)?
Do you have the latest version of QuickTime installed on your computer...what computer operating system...if Windows 10, then QuickTIme 7.7.6...if Windows 7, 8, or 8.1 64 bit, then QuickTime 7.7.8.
4. Is your video card/graphics card up to date according to the web site of the manufacturer of the card? Sometimes an up to date card is not enough, then deletion of the BadDrivers.txt file could be a life saver.