Microsoft Teams/SfB Online Queue behavior

Hi,

When the first user pickup a call, and another call enters the queue, the first user is also receiving the new call even if he is currently talking at this moment. Is there a way - when a user is in call not to be notified about the new calls?

Yes, this all signed in agents should get the calls when using the attendant distribution method. With a attendant console software you won't get multiple calls if you are busy in a call, but with the Skype or Teams client you will get a toaster for the second call. 

Is there a way if User1 has picked up the first call, then the next call to start ringing directly with User2, and when if user2 picked up the call the next call to start ringing with user3 and etc? 

No, it will always follow the order in serial and try calling agents in that order.

In Skype for Business there is options to use Parallel, Round Robin and Longest Idle for routing method I think and hope some of these will come to Microsoft Phone System too.