Issues Replicating Destroy Actor

I am working on a game similar to COD zombies. Everything is working just fine as single player. When I go into a multiplayer test, everything continues to work properly, with the exception of the destroy actor on the enemy when health reaches zero. I have seen visually that the health of enemy is going down and reaching zero. Players get 10 points for initial bullet hits, then 50 when actor health reaches zero and is set to be destroyed. I get to the point where after health reaches zero, i continue to get the 50 points over and over with no actor getting destroyed when playing multiplayer. Any tips would be much appreciated.