You are correct - the search engine seems to be down. In the meantime...........
Log onto
www.ffcobra.ref/com.html and read the process described for a Factory Five that was registered in TX. The process for your car should be the same.
Be cool, relax, and you'll get it done. Just be well prepared, and plan about a half day between the inspection and other paperwork.
Let me know how you come out, and enjoy your car!!
Bud