Airbrushes are actually fairly simple mechanisms. They either work, or they work poorly, but as long as the medium you're spraying is thin enough, it should be transported from the cup to the surface. It might spit, splatter, spider, but it should do "something". Otherwise it is clogged beyond simple repair, and new airbrushes aren't going to come out of the factory like that. Since you've replaced the needle and tip, it likely isn't clogged. I don't own a Patriot, so I can't tell you how to identify the different needles, but Don or Mike or Keilau should be along to help with that.
Can you feel air coming out of the tip? If not, then you have a problem with the air valve, and the brush should go back to Badger for replacement or repair.
If you can feel air, then look at the "business" end of
the airbrush. Can you see the needle? It should be visible.
The needle protruding through the tip is actually stopping the paint flow. When you draw back the trigger, is the needle moving? If not, tighten the needle chuck (the knurled knob in the handle cut out). Once you have confirmed that the needle is moving with the trigger, you should get paint to come out. MM Acryl is supposed to be thin enough for painting out of the jar, but just use water until you are comfortable that the brush is working properly.
Put
some water into the cup (about half full), and depress the trigger. You
should get air, but no water. Pull back on the trigger while depressing
it, to get the water to flow. You have to open the trigger quite a ways before seeing the water coming out. The Patriot can spray a pretty fine line, and that means hardly any paint (or water!) is coming through.
If you can't see or feel any water, then return the brush for replacement or repair.
The question remains if you should have "jumped to a dual action" or not. IMHO, you should. The only difference between a single action and a dual action is the ability to change line width "on the fly". Some people will argue that it requires more skill to use a dual action, and they are right, but if you can drive a car, you can "drive" an dual action.