Does the Queen control all armies of the Commonwealth? Where would a Commonwealth Army rank in terms of power?

She does not control anything. No such thing as a Commonwealth Army

no. the Commonwealth Army hasn't been a real concept since 1948

The queen does ceremonial stuff, but has no actual power. The Commonwealth has no army. Though the UK has the 9th most powerful military in the world.

She does not. There is no such thing as a Commonwealth army. You don't seem to know what the Commonwealth of nations is.

http://thecommonwealth.org/