(beating a dead horse, but....) No need for the tail light.
The reason there is a problem with the turn signals is that the flasher uses a bimetallic strip to make the flashing work. The electrical current through the strip heats it up, which makes it bend, opening the circuit which stops the current, causing the strip to cool off and straightening it out, closing the circuit, starting the process again for the next flash. The LED turn signals do not draw enough electrical current to make the flasher work. Adding a PARALLEL load resistor draws more current so the flasher works correctly, but you're just adding a heating element to your bike. Given that the EP35 electronic flasher (and others) will cost about the same as adding the load resistors AND it does not make you add some monkeyed wiring to your bike, the new flasher is the ONLY intelligent choice.