Greetings
Sounds like you have more than one problem. When you hooked up your CD player did you use the cable that is coming from your TT or did you use a different cable ? If you used the cable from your TT then one of your issues is the TT. Does the imbalance happen with all albums? Not all albums are created equally. Sometimes you need to use the balance control to compensate for the imbalance. That’s what the balance control is for.
‘Per your description of your balance control, there seems to be a problem. The balance control should work the same in both directions. Turned all the way right you should only hear the right channel and turned all the way left you should only hear the left channel. You stated that turned one way you only have sound in one channel but when turned the other way you have sound in both channels. Seems like your balance control needs cleaning or replacing.
How much is the channel imbalance? Is it 1db or 6db?
Re-check your TT setup. Your TT should have come with a template for setting up your cartridge.
Let us know a few more details and maybe we can figure out what the issue is.
‘Joe Nies