The Diadochi
The Death of Hitler had thrown the NSDAP into absolute chaos. By 1932 the whole party was built around Hitler's charismatic leadership. National Socialists fervently believed into the "Führerprinzip" and with the Führer apparently killed by Communists it seemed like the struggle was already lost. By January 20 the Reichswehr had seriously hampered communication between the local party organizations and there were several members claiming to be Hitler's heir.
Ernst Röhm as commander of the SA fled to Eastern Prussia (1) once he received the news about Hitler's death. He holed himself up in a mansion of a fervently National Socialist Junker and started rallying troops. Using a core of experienced SA members he started forming his Volksheer, proclaiming that he would avenge the Führer by purging Germany from the communists and the reactionary officer class that lost the Great War. Reality quickly crushed these ambitious plans however, by January 26 he had rallied 2000 men around him, only around 1200 were sufficiently armed however. Ammunition stocks were dangerously low and supplying the men and horses with food proved to be difficult. According to his beliefs he quickly started to expropriate surrounding villages and estates. This quickly galvanized resistance, even from otherwise sympathetic Junkers. Eastern Prussia proved to be a lousy choice for realizing the National Bolshevik project that Röhm had in mind. Local Junkers were able to quickly rally small militias around them and by February the Volksheer was besieged by several well supplied and mobile Freikorps. The situation looked increasingly bleak for Röhm and his Soldiers...
Hermann Göring started rallying troops around Frankfurt an der Oder and in Pommern (2). Using his upper class connections and his fame as a fighter ace he cooperated with the local bourgeoisie and the Pomeranian Junkers. He was more successful than Röhm but still wasn't able to recruit and successfully supply an army that would be able to march on Berlin. By February he had shaky control over Pomerania and Frankfurt an der Oder but lacked the strength to march on Berlin, which was heavily fortified by Schleicher's troops. Heinrich Himmler became his Second in Command but had very little real power.
Joseph Goebbels accompanied by Robert Ley and Rudolf Heß basically were refugees at this point. Hiding at various local branches of the NSDAP, constantly hunted by the Police and a dedicated Reichswehr task force. They failed to rally a significant number of SA members. Most SA members were either trying to reach Göring or Röhm, which proved to be increasingly difficult due to the relatively stable control that the Reichswehr had over the railway system and major roads. Neither Göring nor Röhm were able to utilize the full potential of the SA, a lot of the members either were arrested on their way to the Eastern strongholds of the NSDAP or joined the reactionary Freikorps supporting Schleicher. The major discipline problems of the SA and the unfavorably situation that the NSDAP was in after the Schleicher Putsch were too much for the SA. Despite their delusions of grandeur most of the SA was a glorified band of thugs good enough for street fights but not up to the challenge of a civil war.
The Left was deeply splintered at this point. Killing Thälmann was a double edged sword. Central Leadership of the Communists was gone after that point but this caused an uncontrollable wave of strikes and insurrections by Communist Unions and the remnants of the KPD. Schleicher's hope that his alliance with the SPD and the moderate Union would lead to a relatively quiet situation in the Ruhr district and other working class strongholds was not fulfilled. Parts of the SPD electorate ignored the directions of the SPD leadership, joining the Communists or staging their own protests and insurrections. The Reichsbanner also failed to fully mobilize. Only a small part supported Schleicher's troops directly. The larger part of the Reichsbanner either never mobilized or acted independently against scattered SA holdouts in West and Central Germany.
The Prussian Augustus
After January 20, it quickly turned out that the Putsch had not gone as smooth as von Schleicher hoped. The death of Thälmann and Hitler had prevented the large scale Civil War many had feared but the situation wasn't far from stable. Parts of the Bureaucracy and Police were not following orders from Berlin, by now secure under Schleicher's control. Most of them did though and even ardent Republican holdouts where slowly accepting that Schleicher's military rule was preferable to the Fascists or Communists.
The situation in the Ruhr District and in the Eastern Provinces was still delicate though. By now the Reichswehr was supported by Reactionary Freikorps and parts of the Reichsbanner, well armed with secret weapons acquired for a quick rearmament of Germany. Schleicher however had to devote significant parts of his troops to securing the border against Poland and France, fearing foreign intervention. Furthermore he had legitimate fears that the Reichswehr might not fight against National Socialists. Rounding up drunken SA members marauding eastwards was one thing, fighting National Socialists lead by a Hero from the Great War was an entirely different one.
So Schleicher decided to devote his forces to crushing the rebellious Socialists and Communists, while remaining mostly passive in the East, only securing the border and Königsberg.
By February the campaign to pacify the Ruhr district was going well and Röhm's idiotic behavior had driven East Prussia into Schleicher's arms. Göring however was a danger and threatening moves by Poland and other neighbours made it obvious that Schleicher had to stabilize the situation quickly.
(1) Eastern Prussia had a high percentage of NSDAP voters and lots of rural areas to hide. Being disconnected from the rest of Germany, it seems like a decent choice to start a Guerilla/Militia war against a superior foe. Reaching the rest of Germany would be problematic but I guess Röhm here has experienced a weird mix of realism and idealism. He hoped for a nationwide National Bolshevik Revolution once he controlled Königsberg but planned to create his little National Bolshevik paradise in Eastern Prussia.
(2) Also very National Socialist provinces. Berlin is not an option so Göring instead fled to Frankfurt an der Oder. With a mix of cunning, charisma and bravado he overwhelmed the local Police with a modest force of SA men loyal to him. Himmler joins him because he hasn't a power base of his own and his beliefs are more compatible with Göring's reactionary nepotism than with Röhm's Nationonal Bolshevik ideas.