Calling all Tech Braintrusts

Couple of things.
What equaliser is it he wants to connect & how did he connect it to the technics?
If he's using a tape deck, where is the CD burner plugging in? I ask that because, as far as I can tell, there is only one pair of line outs which (I assume) he's running into the line-ins on the tape deck.
In all honesty, you made the most sensible suggestion to just forget the equaliser. The only way he'll be able to connect it would be via the same line-in/ line-outs that the tape deck uses & run the receiver in tape monitor mode, but then he'd have to unplug the tape deck.

Okay, more than a "couple" of things

There's the problem.
The eq/vcr lines are basically the same as the tape deck lines.
They basically set up a loop with one pair going into the recorder/ equaliser & one pair going back into the amp to monitor the player/ equaliser output.
The new amp only has the one tape loop option, probably as a result of vcrs being less commonly used.
The only options Pat has is to totally ditch either the equaliser or the tape deck unfortunately.
In all honesty, modern amps don't really need additional equalisation to colour the sound & I'd even be reluctant to muck about with the bass & treble controls & use the pure direct sound option (I think there is one).
There is one other option though. That is to return the amp & get one with that extra tape/eq loop option.
Worth looking at AV receivers, as they will have more connection options than you can shake a stick at & also allow the possibility of plumbing it into the home entertainment system (TV, Blu Ray, DVD, game console etc etc)
If that's the route he wants to take, I would seriously (even if it's a PITA) recommend he takes some media he knows really well to see how it sounds in a demo situation.