If I could give a bit of advice?
Austria very nearly won that game because of Munich; the key to the entire position was that Ber - Kie was ordered instead of Ber S (French unit) - Mun. And, if Austria could have gotten into Sil, Mun was lost forever, and then if the War/Mos line is breached the game ends.
In a position like that, you should be looking to count to 18 as Austria, and realize that unless you can retake Munich, Austria is likely to win. So, the most important thing for you to do in that position was to use BAL/Pru to knock out Berlin, then regain Munich with France before Austria was in position to keep it. And, if you lost War/Mos as part of that, it's a good trade; StP you keep either way, and that's 17, not 18. It doesn't matter how many units you have at the draw, just that you draw instead of lose.
Having said that, you ended up winning a tactical battle against Austria that could easily have gone the other way, so well done there! I was just trying to point out that you ended up picking a tougher fight you didn't need to instead of an easier fight you did, but as long as you win the fight, it works. :)