1. I am looking to defeat Britain ASAP after the Fall of France. Not really looking to invade America. Would rather starve them out and leave them isolated
2. I want to be able to reach west India to put a stake in Britian if it doesn't capitulate after Sealion and Japan isn't moving into east India.
3. I usually play on easy so I have a little more leeway than most, so a move expensive navy that I can use to win deceive naval battles is preferable.
Alright, then let's talk Sea Lion.
First thing's first: You don't need carriers to project naval power against England. You can use INTs and MRs and NAVs to kill the RAF and RN without even thinking about carriers at all.
Learn this lesson well: Land-based air power is deadly against navies and enemy carriers. As long as your ships operate under cover of land based air (since you indicated that air superiority is not a problem), you don't need CVLs or anything like that.
Secondly, you cannot starve the US. You can isolate them, but the US generates enough resources to feed massive IC on her home continent. Convoy raiding the US and expecting to kill off her industry won't happen. Starving her overseas possessions will be hard, since the US can literally afford to replace 1000 convoys every 100 days.
What ships to build?
Let's talk about battleships for a moment. Everyone loves BBs. They are strong, powerful units that inflate your ego. They are also unnecessary if you intend to operate near the continent and take down the British. Furthermore, old battleships are basically useless for anything beyond shore bombardment or fighting other old battleships. CAs and CLs with 1938/1940 techs can easily overcome everything in the RN's fleet that was built before 1936
as long as you have some land based air. The newer ships, including the King George V battleships, will be too few in number to make a difference.
On the other hand, CAs and CLs build quickly, have cheaper techs to research, and generate practicals quickly, which further speeds up research. This means that if you go with a CA/CL based navy and just ignore BBs, BCs, CVs, and SHBBs, you can put more technologically advanced ships into action sooner.
Also, CLs and CAs share the same practicals, so every CL you build makes CAs cheaper, and every CA you build makes your CLs cheaper.
I would advise 6-8 CAs and 10-16 CLs per fleet (depending on how confident you are). More experienced players can get away with a 1/1 or 1/1.5 ratio of capital ships to screens, but for newer players I'd advise 1/2. I' also advise 1/2 if you intend to stay at sea for extended periods.
4. Yes
5. At the onset of the war I plan to deploy submarine fleets to blockade Britain in the Atlantic but that is not my final goal. I want to starve their production in preparation for Sealion
If you intend to launch Sea Lion, submarines are not the right answer. Convoy raiding may be a waste of time unless you just want the RN to wander the North Atlantic away from the English Channel (giving you a better chance of crossing).
Either go for Sea Lion, or choose to convoy raid. Don't bother doing both except as a distraction.
Also, since you are launching Barbarossa on schedule, you want a faster victory against the UK. Convoy raiding is all about long term strategic warfare. You should be aware that in 1939 and 1940, the UK has very few army units at home, especially if you destroy a bunch during the Battle of France. Get past the RN with a panzer corps and some infantry, and it's over.
6. I am confident that I can win the air war against Allies and Soviets
Then make sure you use land-based air to support the fleet. Even CAS has decent anti-ship attacks. So, while your TACs and CAS aren't busy after France is beaten, use them to bomb ships.
7. As long as Japan does well and pushes into Russian and the Commonwealth I'm happy.
8. I don't see any way to prevent Soviets getting lend-lease and I cannot blockade them in the Pacific.
You can base German naval assets in Japan once they are in the Axis, even if they aren't in the war. I'll let you think about the implications for a moment.
Something to keep in mind:
Enemy ships do not stay in sea zones for very long while steaming around the map. This makes it hard to bomb them, because even if your plane are on target, they get one "turn" to bomb and then the ships leave the area.
But if enemy ships are locked down in a surface battle, they may spend 12 or more hours in a single sea zone. This allows land based air to pound them over and over again. So, maneuver your cruisers into combats with the RN in range of air bases. Then pile on both INTs and bombers. Your fleet "pins" them in place while the Luftwaffe kills them. If you have air superiority over Britain itself, bomb the enemy ships when they retreat to port.
And every Royal Navy ship you sink is one less the Italians and Japanese must face later. The Italians are notorious in HOI3 for doing 1000% better if the RN is hurt or distracted. Japan not so much, but even the AI can invade India if the RN is out of the picture.