Regarding the recording: One great thing about the PSR2000 is that the main outputs (1/4-inch) are controlled by the master volume knob. There also is a pair of RCA outputs that are always "wide open". I have found that these outputs are excellent for recording, if everything you want to record is going through the keyboard. (Mine is.)
Personally, I prefer stereo for the mains, and run it that way nearly all the time. However, whether you run mono or stereo to the audience, you can still record in stereo from the RCA outs.
DonM