The other repair threads here on NLG for the E-series machines have a lot of good info in them. For the machine show any life? Florescent bulbs, fan You can check your power supply's voltages without hopper or reels, you just don't get a test under load. Those pins tarnish and loose there connection. Try unplugging and connection that 20 pin power supply plug a time or two and see what it does. That machines very clean, the fans are usually caked in dust. if you install a lithium battery you need to replace the resistor R1 with a diode as to not allow the battery to be charged. These machine how ever are meant to use the Ni-Cad rechargeable battery's. They were used to retain the book keeping memory only and they will run without a battery. The battery on the MPU is not needed to make these Bally E1000 or E2000 machines to operate. Someone has changed the large silver cap on that power supply, I've never seen one that large used before. Your bridge rectifier looks normal, the brown on the board is from just how hot they get.
I'd see if I could follow there wires to see if they are even hooked up. Must have been for something in the casino. Dave, those two small boards under the power supply are not factory, and is also but they are not needed.