There is only one issue I have with this, where I had to drop it for a long time. During the science lab arc,
This seems to exist simply so that Raoul is always righteous with his vengeance. Which works on a small scale. On the other hand, it would be neat if the whole of society was evil...
If we assume the "kill counter" is treated like a memory, then even though he's in a new timeline, the knowledge of his "kills" travels with him when he dies.
In this regard, the kill counter is a very specific mind reading ability.