How do I set up possession between top down characters?

So I am making a strategy RPG with the top down template and I have run into an issue. I have multiple Top Down Characters in the level, who are possessed upon click. When I first possess a character, it works fine, however when I possess another character, they are unable to move at all. Strangely enough, if I change characters in the middle of them moving, They will run in place, but not go anywhere. Any thoughts?