Your TX has the EU version firmware and is only able to bind DSMX receivers. The R610V2 is only a DSM2 protocol and is incompatible with your transmitter.
You need to ensure you only purchase DSMX compatible receivers.
No. None in the range that will withstand 5S
Google "ESC unidirectional 40A" which might help you in the right direction...
No. It requires an ESC.
Check the 'files' section on the product page.
Very few HK models have printed manuals - keeps costs down.
The Bixler is about your only option that has any chance of fulfilling your needs.
Receivers cannot be run directly on the 12V battery. You need a BEC that lowers the voltage to receiver requirements.
In addition, if you have never flown before, if the Corsair you have is the low gull-wing US fighter aircraft, you will be very unlikely to have any success in flying it.
You will be best advised to get a high-winged trainer to learn with. A Bixler is one to look for at HobbyKing
Our inventory is admittedly less than ideal at this time though it will be improving soon. Please keep an eye on the site for updates. Parts for the Trooper should be forthcoming.