It's definitely 100% Automatic Electric with a Teltronics retrofit. All that should be required for the dial tone connection is green and red going to L1 and L2. Terminal G, the yellow and black wires are insignificant. Make sure that nothing is connected to terminal G at all.
This advice assumes that your phone line is actually on the green and red wires coming into the set. The fact that your having moved the incoming black wire around draws dial tone leads me to believe that your phone line may actually be on the black/yellow pair, not on the green/red which is the norm.
The loose blue wire is just part of the coin mechanism and will not have any effect on dial tone making it through for use as a regular telephone set. It's safe to assume that it was originally connected to the microswitch near where the wire ends on one of the soldered lugs.
As for the ringer connections: The red wire should go to the same L2 terminal with your phone line, the wire coming from the other end of the red capacitor should go to the same L1 terminal with your phone line and the black/blue leads should be insulated from each other and stored. I'm rusty on AE ringer wiring colors, but you might need to connect the black and blue wires together in order for it to ring. Try it either way, but don't hold them while testing.
Whether the set was pre- or post-pay, connection to a standard phone line will still result in dial tone making it through and operating as a standard rotary-dial telephone set. It was the line type and central office equipment that determined the type of payment/escrow required.
