Regarding the analysis of a carrier battle, there are a few points.
The RN are not getting into a daytime fight unless cornered - why on earth would they??
The British have no real intrest in a Pacific battle, so its likely it would take place in the Singapore area. So lurk under land based...
The idea of invading Gib without Britain being at war with a major power is pure fantasy. Britain embargoes Spain. France and Portugal tut-tut and follow. Some months later Spain overthrows the overntnment as everyone is starving, and the RN has reduced every target within 15miles of the coast...
Hitlers DoW wasnt irrational, it was his best chance of preempting being buried under American arms. Read Wages of Destruction. It was a gamble, it wasnt irrational.
All these 'Britain gets neglected while the USA goes for Japan' ignores a few things.
The USA depended on British ships to get...
iirc, at this period HE could distinguish between a merchant and a warship(quite different sound signiatures), but not between a cruiser and a destroyer
a longer term strategy in China. nibble away, then balkanise like Manchuria. Ally with Britain, then the USA. You might not get all China, but part. keep nibbling over the decades.
Perhaps you could explain how these issues are handled. OTL shows they couldnt manage it, so you need to show how they could be, rather than handwviung solutions into existance
As to budget and resource issues? Read Wages of Destruction for a start
Still waiting for just what Kido Batai is actually doing if they arent visiting Hawii.
(1) Sitting in the Inland Sea driking sake? In which case, how is this different from OTL for Britain?
(2) Wandetring around the Pacific? To what point other than to burn fuel and annoy the Americans.
(3) Try...