When you pin the drum whilst empty, does it spin normally?
Is the spin really fast?
So it is like a tumble rather than a spin?
Is the machine empty of water?
If the appliance is filled with water, does it drain away?
F02 is a fault of the tacho on the motor, f05 is a fault in the pressure switch... Both are controlled by the PCB... Could be a PCB fault.
If it is new.. call them out or send it back.