Better than an LSE (in my opinion), I believe you have an aftermarket CDC body kit. It was the predecessor to the LSE kit. As far as I can tell, Ford bought the cast molds and made the kit into the 02 LSE trim kit before going to traditional injection molding for the revised gen 2. If so, the grille inserts were intended to be swappable. The CDC kit is more unique and cooler (IMO) but, unfortunately, not necessarily more valuable on the car as a whole. Just please don't scrap the car with that kit, even if it's "just" an LSE. They're rare parts all around.
General LSE stuff:
02 was the first year for the LSE
appearance trim (hence why the title, and all titles, should say LS). However, the 02 LSE trim was only available in silver or black. Gen 2 had many colors. Note that there's very little that actually makes an LS into an LSE and it's all in the appearance. It starts as a Sport then gets unique bumpers, skirts, grille, wheels, rear license surround, and an optional flat lip spoiler. Each part is different between gens but follows the same pattern.
Both the gen 1 and gen 2 LSE spoilers were low profile deck/lip spoilers, no air gap. The grille would have been exactly the same mold as the standard grille, but painted.
Gen 1 LSE grille had a body-color upper piece with gunmetal painted teeth. Gen 2 LSE had a body-color surround with chromed teeth.
Gen 1 LSE wheels were the same cast as the 5-spoke 17" gen 1 Sport wheels, but instead of silver, they were painted gunmetal with a polished lip. They didn't have LSE center caps, they were the same caps as the sport - silver with a Lincoln logo. Gen 2 wheels did get unique cast LSE wheels of various types, but mesh/BBS race wheels weren't it.
The base/sport license surround was chrome while the LSE was body color.
Base/sport skirts were basic bare black plastic, Gen 1 LSE is what you see ther,e body color and swoopy. Gen 2 was also body color, but much straighter.
The front bumper had the smiley opening with round fog lights. The rear gen 1 bumper just had a swapped lower valence with exhaust cutouts. Gen 2 LS already had the cutouts, but the LSE valence was then body color instead of black. Gen 1 LSE also would have had quad exhaust tips rather than the ovals.
The spoiler and the all red tail lights do suggest that it could be an LSE.
All gen 1 was sold with all-red tail lights. Any two-tone gen 1 lights were from the export prototypes.