It is my understanding that class conflict is seen as the primary contradiction at least in this epoch of history. My question is, what are the new contradictions that formed under socialism thus far and what would be the theorized contradictions under communism? What was the primary contradiction during primitive communism? Or perhaps my questions show a fundamental misunderstanding, which if so I would like corrected. Thank you!
No idea. Not even Marx tried to answer that.
If i had to guess, i would say that unless something more surfaces in the meantime, most likely the chief contraditions would be the contradiction between human development and natural world (also rebuilding of nature after capitalist onslaught will need centuries of attention), the contradiction between freedoms and not allowing reationary ideas to resurface, and last but not least contradiction between materialism and the idealist hydra.
You also hit on the answer for primitive communism. It’s less about the clash between groups of people, and more about the clash between people and nature: food scarcity, predators, natural disasters, disease.
As for future communism, it could be like star trek, where most contradictions are internally solved, and we seek out new civilizations only to exchange art, culture, and experiences, make new friends, etc.