Should all 4 wheels stop when you push on the brakes?

[K10-Kansas]

I've got my K10 up on stands because I've been working on the brakes. I think I'm done and was testing. In reverse my passenger rear spins and when I apply the brakes, the passenger rear stops and the driver's rear starts spinning.

In neutral the driver's rear spins and both stop when I put on the brakes.

In drive the driver's rear spins and when I put on the brakes, the driver's stops and the passenger's starts spinning.

I may be remembering some of this wrong. Is this normal? I bought this truck a year ago and drove it onto a trailer and then off before I began replacing and fixing things so I've never really drive it or and older truck for that matter.