Welcome to the fun! I'm not the smartest guy on the site, but I think what steve 6x6x6 said is likely to help. The a3 has a split system with the front brakes on a different hydraulic "circuit" than the back brakes. I believe he just gave you the means to adjust them a little.
Things to check. There are two brake reservoirs on the A3, under the hood on the passenger side. Check to see if both levels are still good. If there is serious discoloration in one or the other, you may have fluid contamination. If that's the case, you need to bleed the brakes out, make sure you use dot6 silicon brake fluid. It's not hard, but it does take two people or a power brake bleeder.
If both fronts got hot, it's likely to be the master cylinder. Could be not returning as it's stuck, or the brakes being mutually mal adjusted. If you have someone pump the brakes while you are watching the reservoirs, you may see bubbles or discolored fluid move in one or both reservoirs. I would again bleed the brakes to clear that up. If one moves, but the other doesn't, then that "circuit" is probably locked up. From what you said about the truck rolling freely now, you may be able to limp it home going carefully, avoid braking and get it to a mechanic. Our brake systems are not that complex, most can work on it.
Next thing, check your front axle for gear oil being in it. There is a plug about halfway up the pumpkin shape on your front axle. It should be a 1/2 inch square ratchet hole, which you can remove the plug with. Keep the plug near, it's likely going to start flowing out if it's properly serviced. If nothing comes out, then put your pinkie in it and see if the fluid is just below or near the bottom of the plug hole. If it's not, it might be a little to a lot low, which will also heat up the axles.
Lastly, there is one other unique thing with the A3 deuce, which is the dreaded CTIS system. It's designed to keep your tires properly inflated while driving. IF you have overinflated the tires (over 45-55 psi), you might be getting air pressure "blocking" the air assist on your brakes. I haven't been able to confirm this happening on my A3, but one of the friends I have has seen it on his deuce when he tried 60 psi. Easy check though is to check the air pressure on all the tires.
That's all my limited knowledge covers. Good luck!
