I also have a F & P Smartdrive 5.5 washer (Model number MW059AU), 3 yrs old. It does not pump out water at the end of cycles. Turn machine OFF at the front panel. When in Diagnostic mode (pressing spin speed up button until the hold and slow are lit). I get no leds lit.
No don't rush out and buy a pump you most likely don,t need one.
First up turn the machine on to spin and listen for a humming noise. If that is what you get you have blocked or jammed the pump. Easy solution then is to lean the machine back and look underneath. To the front and right side you will see the pump with a small fan on it. Turn the fan to and fro till the pump frees up. Then try the spin again.Watch the outlet to see if anything comes out that may have been the cause of the jamming. If you cant free the pump and/or nothing comes out you will need to remove the inner bowl and access the pump that way to clear it.
I don't have it but I am sure someone can give you the link to the instructions for removing the inner bowl