Hi Gordon!
I'm experiencing exactly the same symptoms with my 5Dmiv. It started with the 70-200 2.8 ii, then I replaced it with the 100-400 ii and still the same problems.
5 days before it, I had left my camera (and my 7Dii as well) to a routine cleaning of its sensor and body at the Canon stand during the World Champs in Athletics.
But I do not think these issues are related.
Please, have you found any solution?
thanks!!