Acronis Backup and Recovery 10 - converting from a trial version

Must I un-install a trial version and then re-install a full version of my Acronis Backup and Recovery 10 product?

No.

1. For standard versions, installing the purchased license key will convert ABR10 from trial to full product
2. For advanced versions, installing the license server and then the purchased license key will convert ABR10 from trial to full product