Depending on how aspiring Falkenhayn is, he could jump into national politics, probably not in this election, but his backing will win seats.
With the war over, the Bergfriedenspolitik is over, and the SPD under Ebert and Haase can flaunt their patriotism in putting Germany over party politics, and without widespread radical socialism, (no October Revolution, France fighting itself is a bonus in some people's opinion.) the moderates have proven that working with the system is the way to go. The SPD might try to gain votes by promoting additional veterans benefits, a sort-off, "They payed for our war, now we must pay for their peace."
The Spartacists under Liebknecht and Luxemburg will pay the price for their anti-war stance now, as I doubt Ebert will let them get reinvolved with the SPD
With the only socialist revolution having any success is in France, and therefore, anti-German, maybe they'll try to keep their movement going, but without backing from the public, they might go join the other Communists in Switzerland.
The Hungarian revolt will make major headlines in Germany, and the question of intervention and more importantly, what happens afterwards, is the main question for the government, most will be for it after the sacking of Vienna and Hungary will pay dearly for its attempt to stand on its own, but I don't think Danubia is going to be held together by anything except German arms now.
The economic situation seems kinda worrying, Russia, Austria, and France are in various stages of falling apart, and they all were big trading partners with Germany, the return of business with Britain and America and the reparations with prop things up, but the reintegration of millions of soldiers into peactime society will be costly, unemployment will rise, and the value of the Mark is probably still down compared to the Pound or the Dollar.