I'd put the running lights on the bow pulpit, and for my self, the mast head is the WORST possible place for an anchor light. I've always had my about 6 feet off the deck where the late night drunk dingy drivers, and or the pre dawn fishermen, can see them.
I've been told "but ships can see them easier up high" I don't normally anchor in water deep enough to worry about ships!!
Now, your steaming light DOES belong on the forward face of the mast- don't know what to tell you there.