Hello! Characters have the option of retaining the memory of their time in Abraxas. The Singularity will be able to restore those memories.

Abilities from events and the Horizon will have to be regained, and magic will need to be relearned. As for influence, this is on a case by case basis. For returning characters who amassed a significant amount of influence, it's possible people might remember them. In Rinwell's case, however, she will need to earn her influence from the beginning again.