Make sure the propellers have the correct pitch direction and are installed in the right place. I don’t have a P4 and never looked at one closely, but based on my experience with other RC multi rotor and fixed wing RC aircraft, your description sounds like the pitch is wrong on one or more props and/or a motor is spinning the wrong way.
The previous owner may have replaced a broken prop with one with the wrong pitch, or they may have dismantled the cracked arm and plugged or soldered the motor in wrong, reversing it. To reverse a motor, swap any two of its three wires.
Make sure the motors and props are spinning the right way and the props are pitched properly before assuming something else is wrong. It is possible to reverse a motor in a flight controller’s firmware on some brands, but it doesn’t happen by itself and I don’t think DJI provides the software to do that, so it’s very unlike the motor reversed unless someone wired it wrong.
If the motors are undamaged, and the motors and props turn the right way, and the prop pitch is correct with respect to direction of spin, the next thing I would look into is a bad ESC.