My issue is that my right turn signal is out.

Does anyone know where I can get a new "224 12v Wagner Dot" Relay from?

 

looks like a standard 2 prong flasher. may want to go with a electronic one. i believe a 552 will work ok.

 

are you sure its the flasher. none of the blinkers should work if the flasher is bad. better check all your bulbs and connections.

 

Right side no worky?
Turn signals, emergency flashers, and brake lights have their own power source for each circuit.
All circuits use the same bulb wiring.
Brake bulb power goes through T/S switch.
Do emer flashers work on right side?
If they do flash, check turn signal switch - maybe lift up alittle on the handle or wiggle it?

 

If left side blinks/flashes, then flasher shown works, its the same one for both sides.

 

My hazards work fine.
Right side marker will not stay on and right cluster column indicator is not light up when I turn my lights on.

My left blinker works fine, front marker and side marker blink off set.

My right side marker blinks, but will not stay on as a "running light" should.
The front right flasher does not blink at all, even when the right side marker is blinking.

Sometimes I start my car and everything lights up and works fine, but it will only stay on for a short time.

it started to become more frequent as time has gone on for about a month now and it barely comes on anymore.

I have replaced this wagner and the "flasher" connected to the OBD module. Nothing changes.

I've cleaned up the grounds, so i'm unsure what it could be.

 

have you checked your bulbs to make sure they is ok and in correctly.