When to use User and Groups segmentation?

We are using Accounts add-on and started sending several events, but I am struggling to visualize these in Amplitude.
Summary of our set-up:

1. We track users events, users are part of a group called “Customer”
2. For the $identify event we send the following properties:
   1. groups: {Customer: "e11cffc6"}
   2. user_id: 123
   3. event_properties: {Environment Type: "Production"}
3. For the $groupidentify event we send the following properties:
   1. group_properties: {$set: {Customer Name: "IKEA"}}
   2. groups: {Customer: "e11cffc6"}
   3. user_id: 123

Questions:

1. Did we configured the group analytics properly? As you can see, we added the Customer Name property only for the $groupidentify event and therefore you can’t tell the customer name in the User Lookup page.
2. We would like to see how many Page View events were created per customer. Should we use Segment by users or customers option? Why do I get different results for each selection?