it seems that you have the face lift car but the front bumper is from a preface lifted X5 (does not look aftermarket, like Hammann, or AC Schnitzer), the pre face bumpers house a fog light by Valeo that is longer version and is an "ellipsoid" - the front of the light looks like a magnifying glass, and not like a flat house window glass... given the replacement bumper and the over spray, it seems that the original front bumper was either damaged or the car was in front collision and the car was repaired, probably using a donor X5. before doing any mods, do a visual inspection of the front of the car, including the engine bay - the radiator, the hoses, anything that might look out of place...

the plastic cover that you circled on the first picture is a cover that hides a threaded hole for the tow hook, the hook should be in the trunk area, under the floor cover, on the right, inside a plastic mold.