It seems that if you edit your code Unity clears your statics, but the "Async Manager" GameObject survives until you leave Play Mode, which causes it to run into these nulls.
NullReferenceException: Object reference not set to an instance of an object
UnityAsync.AsyncManager.Update () (at Assets/Plugins/UnityAsync/Manager/AsyncManager.cs:110)
(as well as lines 120 and 130 for LateUpdate and FixedUpdate)