The common problem with the door not locking is a ruptured hose. Where the hose goes through the rubber corrugated link between the car body and the door, the hose is prone to breaking because the hose is made from cheap material. Replacing the hose from pump to lock is a pain, it involves running the hose alongside the existing hose which for much of the way is wrapped inside a wire harness. The easiest solution is to splice a piece of urethane hose where the brake occurs. Cars that are used in cold weather probably suffer with the hose failure as the material gets brittle in cold temps. Always use urethane material for the hose. I should have just replaced the area that hinges rather than replace the whole trunk lock hose when I had the trunk and hatch without trim. My hose was not broken but I figured how hard can it be.
I thought that the flashing lights were operated by the pump, that pump performs a lot of functions.
Does the passenger door and trunk lock when using the dash button? The gas cap lock only works when using the fob.
I used 3mm inside diameter x 5 mm outside diameter urethane hose.