I have a 95 softail with rear blinkers only no fronts I purchased bike like this. My question is my rears only blink is I keep pressing the button. Does anybody know how I can fix this. Thanks

 

Sounds like you need a load equalizer...

 

I haven't got my 95 harley manual yet, but Iown a 95 fatboy and gotten myself peeping around. Now,this is only a supposition as I might have no clue if it actually makes a difference, but u should check the breakers to the turn signals to see if they're functioning right.
I took my front turn signals off and had no problem with my blinkers.
Ur blinkers are also self cancelling, take a look at that mechanism to see if it'sworking properly also. That's all I can think off since I can't see a wiring diagram until I get the manual (mid january )

 

Earlier Harleys required you to hold down the button. My '90 was this way. Not sure when they made the change.