For the flasher, you'll need a filtered DC supply, otherwise the flash won't work. You can use a single protection diode for all three, use that in the lead that goes to ground. You need a separate resistor for each LED. Is this command or conventional? Do you want directional lighting?
If it's conventional, I'd probably use the diode and a 220uf 35V capacitor to generate a filtered DC supply, then just string the three LED's with their individual resistors off that supply to frame ground.