I'm not sure what might be causing the chirping sound, but it certainly sounds like a problem with the turntable. Even though the Radio Shack pre-amp might be pretty bad, if it's working spend your money to upgrade the broken pieces first.
You haven't really given us much information to troubleshoot the chirping sound, so tell us more about that. To me, "chirping" sounds mechanical. So you might look at the mechanical aspects of the table. Are there bearings that need to be lubricated? Also, I'm assuming that you hear this "chirping" through the speakers. If you are hearing this sound coming from the table itself, but this sound is not being reproduced through the speakers, that is an important piece of information to omit.
My point is that you have to be as detailed as you can when describing a problem to others that cannot experience it first hand.
Cheers.
You haven't really given us much information to troubleshoot the chirping sound, so tell us more about that. To me, "chirping" sounds mechanical. So you might look at the mechanical aspects of the table. Are there bearings that need to be lubricated? Also, I'm assuming that you hear this "chirping" through the speakers. If you are hearing this sound coming from the table itself, but this sound is not being reproduced through the speakers, that is an important piece of information to omit.
My point is that you have to be as detailed as you can when describing a problem to others that cannot experience it first hand.
Cheers.