I want to know how to record and play radio waves?
This is only a partial answer, but should be enough to get you started.

The parts are:


Build a receiver http://www.somerset.net/arm/fm_only_lowtech.html
Tune it to the right frequency
Use it to detect the codes sent from your remote
Build a transmitter http://makezine.com/projects/super-simple-fm-transmitter/
Tune it to the right frequency
Transmit the codes
Success!


Step 3 is probably best done with a scope - you should find someone who has one, who can operate it, because they can be damaged.