OT: Questions about naval warfare in WW2

[RN7]

I have never been able to get a definite answer for the following questions so I thought I'd throw them out to the resident naval experts on the board.

1) At what point during WW2 did the US Navy overtake the Royal Navy as the worlds largest?

Although some might argue that the US Navy and even the Japanese Navy were the most powerful navies in 1939, from any figure I have ever seen the Royal Navy was numerically the largest navy in the world in 1939. It was not that much bigger than the US Navy in heavy units, but it was certainly the largest including cruisers, escorts and submarines. I would say the Royal Navy remained the more powerful in the Atlantic until 1945, but worldwide I would say the US Navy overtook it in late 1942 early 1943, am I wrong?

2) At what point during WW2 did the US Navy overtake the Japanese Navy in the Pacific?

The US Navy was always larger than the Japanese Navy but was it was split between the Atlantic and Pacific oceans. The Japanese Navy was all in the Pacific. Would early 1943 be right?

3) If Germany had completed the Z Plan (the realistic part of it) battleships, cruisers, aircraft carriers and escorts, and the Royal Navy had built the Lion Class battleships and other units to counter it, would the Germans have ever been able to dominate the Royal Navy in the Atlantic?