What happened to most of the members of the SS after the war? Were they punished?
The Schutzstaffel was a paramilitary unit created by the Nazi party. After the Nazi party came to power and the Nazi party effectively became the state, the SS as a result also became much less of a paramilitary unit, and instead become just a second military unit, parallel to the Wehrmacht.
The difference between the Wehrmacht and the SS was that SS was seen as an elite force, and was also populated by pure "aryans" who at least claimed to believe in the national socialist ideology.
As such, most of the members were not punished, because you were not punished after the war for being "aryan" or being a Nazi, for pretty obvious reasons. So yes, most of the over one million members of the SS were not punished after the war. The exception was those that were convicted of war crimes.