[X] Plan Burn The Land & Boil The Sea
-[X][AIR] The air force is shattered, its pilots badly burnt out. Stand them down and give them a break. In the unlikely event that you need to piss away four planes at a later date, you can always call them back up again. It's not like their odds of making a dent will meaningfully improve by staying geared up.
[X][NAVY] Keep them out. The Vicks are already far fewer, they've burned some ammo, and they'll be strained by the dogfight. You have AA on the boats. The weather is more risky, but you think being able to keep artillery tubes hitting the onshore Victorians is more important than preservation at this stage.
-[X] Write-in: You don't know what the other half of the Victorian army is doing. Make it a priority to get some reconnaissance information on the situation south of the defense lines on the south side of the city, by whatever means seem feasible and not needlessly dangerous. This may include naval action after the weather clears, but not air action with the handful of planes you have left.
Our air force is spent as a major strike option right now, and they need to be rested. However, our Navy is not, and bad weather + defective Munitions is exactly the best case scenario for keeping them off our heads in a meaningful way. F-16s are not great air to ship platforms without specialized Munitions, they have to dive in and go to guns, bringing them right into our range. Using our Naval superiority now is the best time to exploit that. Keeping them intact and hidden away when we desperately need everything we can to oppose their numerical superiority on the ground is taking the counsel of our fears.
With the caveat that I know nothing about how this sort of thing works, if it was possible during the Second World War, my ruling is that yes you can, and no it has not yet picked up major actions other than the Leamington landings.
It is called Traffic Analysis, and it is a subset of signals intelligence. It is entirely possible to determine rather closely where division, Brigade, Battalion, and such headquarters are by the size and amount of signals traffic going in and out of them even if you cannot break the codes at all. Simply analyzing the volume and recipients of the traffic tells you quite a lot of information. Several Iraq divisions found that out the hard way in 1991.