That generally sounds reasonable. The current at peak loads might be higher than what you calculated, so the performance you see in the max torque sense could be lower that what you saw with the original NiCd pack (when it was new). I have no experience with the Panasonic Evolta, but if the performance ends up being limited, you might look around for NiMH cells that are better about high discharge rates.
Also, you probably should not use the original charger for the new NiMH pack.
What is your basis for the 50% duty cycle requirement? In my experience, from textbooks to discussions with engineers to labels on test equipment, "square wave" means what you are calling "rectangular waveform". For instance, I think most function generators have a "square wave" button to access the rectangular waveform-generating features, not a "rectangle wave" button.
I'm not sure what you mean by "mandatory", but in the typical, government-backed sense, that is a very bad thing. Imagine if you bought a bottle of water without knowing how much water was in there and someone put you or the seller in prison.
If you're just talking about making a capacity specification a personal prerequisite for you to consider buying a battery, keep in mind that there are all these other variables, including discharge rate, temperature, how old the battery is, how low the voltage can be before you consider it discharged, and on and on.
You are not providing the right kind of information to answer your questions, and I do not know if this is the appropriate venue for going into the details of your project. But, here are some general points that might be helpful to you and others:
* I think 2.5 years is unlikely to be practical for a rechargeable battery. (Maybe that was a typo since "charging" and "changing" are pretty similar.) I think there are various non-rechargeable battery types, like lithium batteries, that are supposed to last a decade or more.
* It is not helpful to go into details like how many characters are sent without talking about the time it takes. And, for all I know, the wakeup and autosleep stuff might take longer than sending the message. Anyway, let's say your power requirements are 2A for 5 seconds every day. You would need 2 A x 5 seconds = 2.8 mAh per day. Multiply that by 365 and then 2.5, and you get to a little over 2.5 Ah for your 2.5 years. That's not some particularly huge number, though you might need to pad it quite a bit since the capacities might be based on very low discharge rates, not the 2 A pulsed discharge.
* How do you expect anyone to know the "best alternative" for your application? We cannot know if your system will be in the sunlight for some solar option or how practical it is to power your system from a wall outlet.
This is not a very good place to ask a question like that (anyone reading this post is likely new to servos and unlikely to have meaningful experience with a particular servo you are considering).
Anyway, while I have heard of no problems with that servo and think it's generally decent, if it were my $1000 plane, I would probably put some higher-end servo in there. At least for critical control surfaces.
I have no idea what you are asking for. What does "control a servo wireless" mean? That PIC is not going to do wireless communication on its own, and if you have something else doing the wireless part, why have the PIC there? Why that particular PIC?
I think you're getting sloppy with your units, and I don't follow the charger stuff or what you are asking.
With the hard drive, you make a mistake when you switch from what you get to what you use. You buy 10gb, and you get 10gb; how you or your device use it is a separate thing. When you buy an 8.5 x 11 inch piece of paper, that's what you get, even if your printer can't print on the whole area.