Wow, I speak several languages, but getting used to a different word order is hard!
If you're interested, there are a couple of tables here which show you how the possessives are formed.
If that looks overwhelming at this stage, don't worry, I think the Duolingo course will take us through that pretty slowly.
Why can't i listen to the Swahili audios, is this general to you all or it's on my phone only?
Can someone explain how the grammar works in this sentence. Like What gets moved to what position in most sentences and questions?
The positioning is Name-my is Rehema. There isn't much reason other than that the way it is. Why do we say "My name is Rehema"? The question form would be "Nina lako ni nani", name your is who? Again, best not to ask.