The washer is draining but not all the way. I'm thinking it is the pump.
You are on the right track. You will want to check to make sure that the pump is not clogged or restricted and make sure that the pump is turning freely.
My wash will not empty the water out. It washed the clothes fine but it did not empty or spin out the water.
You will want to check the drain pump to make sure that it is not clogged and make sure that it spins freely. If not then you will need to replace the pump.