Since you have a helper, you will be better off with two person bleeding than using the mity vac. It's a great tool for troubleshooting vacuum problems, but not worth a bucket of cold spit for bleeding brakes IMHO.

Replace all the parts and rebuild your caliper. After the system is tight, empty the reservoir and pour in fresh fluid. Start at the left front and with the engine running, (so the brake booster is assisting your helper) have the assistant pump the brake pedal several times then hold the pedal. MAKE SURE THE ASSISTANT DOES NOT RELEASE THE PEDAL UNTIL YOU HAVE RECLOSED THE BLEEDER SCREW. Make sure you are communicating well with the assistant. Try to close the screw before the pedal reaches the floor. Just open it for a second to let it squirt. If it stops squirting before you reclose the screw, air will reenter. With a little practice you will open it, see the fluid shoot out and close it just as the fluid stops squirting at its maximum pressure.

After the screw is closed, have the helper pump the pedal a few more times then hold the pedal. Always confirm with the helper that they are holding the pedal down. While the pedal is held down firmly, crack open the bleeder screw again. The first time you may get bubbles and sputtering. Once you are getting a steady stream, move to the next wheel which would be the right front. Repeat. Then go to the left rear and right rear. Don't go from one wheel to the next until you are getting a solid fluid stream with no bubbles or sputtering.

After you are getting fluid from all four wheels without bubbles or sputtering, go back around from wheel to wheel for good measure. This will let you flush them further to ensure clean fluid everywhere as well as ensure that all air is gone.

After you are through with the bleeding/flushing, replace the m/c reservoir cap. Then get in and mash the pedal HARD with BOTH feet. This is to ensure that everything is strong and will not blow anything out. If something is going to blow out, you want that to happen with the car parked, not while you are on the road.

Best of luck,