Last night my 2013 Mazda CX-5 showed the check engine light, master warning light, the traction control light, and my tire pressure light would blink several times. Luckily I was just pulling into the driveway of a friend's that we were staying for dinner at when it all happened, and I was able to turn the vehicle off without driving it with it's apparent problem. Found your post here and read through it while eating dinner. After an hour I went out to the car to try and start it, me and my wife have both had some fits with starting it at times, after applying pressure to the break the start button on the dash would be orange instead of green, only turning on the electronics on the dash. After a second or third try, it usually goes green and then no problem. I thought it was a bad battery in the key fob, so I replaced them a while back. I plan to call to my closest Mazda dealer today to see if I can't replace the same switch that you had. Just went out to warm up the car to go to work, the check engine light is gone, but the traction control light is illuminated along with the blinking tire pressure light.
I just got to work and wanted to say that when I got back in my car, the traction control light was illuminated along with the blinking tire pressure light. But when I put the car into gear the dash lights went off. So I now have no warning lights on again.