The first order of business is to properly dispose of both the transmitter battery as well as the receiver battery, They are far beyond any reasonable self life even if never charged and would be extreme dangerous to attempt to use. That charger could be used for the transmitter however the that plug for the airplane switch harness is the very vintage 'G' plug and has been extinct since the 1980's
This leaves a question mark what plugs the Rceiver and the servos use In other words you may have a real rats nest of vintage stuff. Is this stuff worth the price of purchasing new batteries, well no and remember you cannot get that type of plug anymore at least without an extreme pain in the rear on new batteries.
The Engine is just stiff from dryed caster and is very simple to free up with certainly no disassembly, by the way do not turn it over dry. Fir what its worth it is a Thunder Tiger forty or forty six GP. An excellent engine.
The repair to the wing hole can be as simple as sticking on a piece of packing tape.
You will be best served by seeking help for your nearest club and finding a mentor and do not buy anything just yet with imput. Trying to depend strickly for help in learning to fly and refurbish an old airplane by dependence on the internet is most often an expensive mistake.
By the way the TT trainer is a great old trainer that will serve you well if you make the right decisions and get help.
John