The emergency flashers don't work at all. Left rear turn signal does not work. Right rear flashes fast. Fronts are ok. Can someone help me out here? Thanks.

Hazards...
I believe there are 2 flashers - one for your signals, and one for the hazards. Check for that second one - looks the same as the primary.
Could be in the switch but doubtful.

The right blinking fast indicates a burnt-out bulb on the right side OR the curcuit board on the right rear is buggered.