What he is hoping is that the selector switch or the tape switches are dirty and the signal is not getting through. Cycling would just be turning or pressing over and over a bunch of times so that the connection would be cleaned simply by the action of switching over and over and then try again.
As far as the Bose EQ goes, I would put it straight between the output of the C-28 and the amp. Using tape one is a great way to loop in an EQ if you want to be able to add or remove it from the chain easily, but the Bose EQ is made to be always in line with the Bose speakers and should always be in the chain IMHO.
It sounds like the amp is working from your description. The low output of the turntable would be normal without a phono section like the C-28 provides when you are plugged into the phono jacks. If the Tuner was playing at a pretty normal volume then the amp is fine.