My Mamiya RB67 triggers and shutter lease lever works but film advance lever doesn't move. Trigger button fired several times but film advance still showing 1.

Hit or press the film release button or replace with a known good battery.

The vertical shutter sliding lever gets locked if the film doesn't get advanced to the next frame, and the mode selector is set for single exposure. You can't trip the shutter unless you have film in the camera and you forward the film to the next frame. That should allow you to release the shutter with the sliding lever.

If the problem is on the magazine's counter and if the spacing of frames is correct then the counter dial is loose. two screws on the outside front of the top of magazine, two screws in the film chamber hold the top cover. remove leather cover on winding lever loosen screw and remove. you can then remove the complete top housing to expose the counter mechanism.

Mamiya RB67 Pro SD that is new to me. loaded the film correctly took the first shot. But, the film won't advance. What am I doing wrong?

Have you tried it without the back attached, or without a dark slide in the back? Many cameras have an interlock preventing the shutter from firing while the slide is in. If that doesn't work, remove the lense and try it all over again - many times on these model's the problem lies in the lense, not in the body.

If neither works, consult a tech. But, expect more in repairs than you probably paid for the camera since these things are going for well under $300 these days.

There is good chance that the back needs a spring replaced. I've seen them fail many times.

Did you made sure the dark slide was removed? Check to see that the firing pins on the camera back are coming through the revolving bracket okay and that they are engaging the pin on the film back (left side). Is there film loaded? You can check without film if you have the multi-exposure lever engaged (red spot visible) and dark slide pulled out.

Solutions here....
http://www.apug.org/forums/forum51/16253-mamiya-rb67-lens-stuck.html

Start by making sure the dark slide is removed, the camera will not fire with it in place. The next step is to check the rotating back to make sure it is locked in either the vertical or horizontal position. Without film in the magazine, the multi-exp lever on the back must be set to show the red dot under the advance lever. You can check the camera without the back by removing the rotating back using the latch on the bottom of the camera

Perhaps you've already solved the mystery. There are 2 parts to the back of that camera, the film back + the part that it slips onto. And they have little safety latches/pins that couple in order to advance the film & release the shutter. I'm sure those just aren't in the right place. Here in Los Angeles you could take it to any major camera store or repair shop & they've help you out.