Is this door striker and lock safe?
The "Guardian" lock should be fine. If you feel daring, give it a good shove from the outside.

For the strike plate, if it's secured with long screws and doesn't wobble, it should also be fine. If you choose to fix it, the approach will depend on how the rest of the door looks. I suggest you post another question that documents the width of all the reveals around the door-jamb gap.