OK, let's back up (again) and make sure your new scope can give you a proper reading.
Are you not using a ground clip on the scope probe? I believe I may have told you not to, but I'm not familiar with your little scope and it may have isolated inputs, so lets try this:
1) Don't use the signal generator at all--disconnect it and set the leads aside
2) Use the LINE trigger setting on the BK2120
3) Use one probe on the scope and connect the ground clip securely, preferably to one of the BNC shells or alternatively to the frame of the instrument.
4) Try again, starting with pins 7 and 14 of U603. You need to be able to see 0 (or so) volts and 5 volts (4.3 is probably OK) just as your multimeter shows before proceeding.
5) If that works, start looking for the 60Hz line trigger signal, starting again at the switch pins, then pin 9/U601 and pin3/U603. Screenshots are needed here.
6) If those look good, then pins 5 and 6 of U603.