Primary Test: Magnification should be all you need on the hydrothermal red beryl, and all beryls for that matter. The cellular growth pattern is unlike anything that you will see in natural bixbite. While this only applies to the current flux melt production method, this has still been found to be a very reliable test for a hydrothermal red beryl.
Secondary Tests: None needed
Repair and Setting: Based on this being a true synthetic beryl no special care is required other than would be used with a natural beryl. Not recommended for heating, but cleaning in ultrasonic should not be a problem.