11.8V? Why is your battery so low? .55v drop from battery to pump is super stupid high! If I'm understanding what you are saying.
How do you have the pump wired up?
What's your voltage drop on the battery cables?
I'll assume your battery to frame ground has been checked (voltage drop?) Since I'll assume that's where you have the pump grounded?
So many others questions, but let's start with those.