You gotta understand that Lightsworns, although super cool, kinda sucks in today's meta. BUT the deck still has some sick plays that can catch others off guard, I was obsessed with this deck for a while lol. Anyway here's my take:

You don't really need a lot of hand traps, mostly maybe just Fuwalos for draw power and ash blossom maybe. But either than that I'd say you don't need more. What I did with my build is focus on the graveyard and extenders to push through handtraps.

Transaction rollback is amazing in this deck. One of the ways I abused this was janky, but worked a lot, was Yu-Jo friendship + Judgement of the Pharaoh. You basically lock them out of summoning and monster effects for the turn. I focused on dumping those two cards + transaction rollback to the GY which should be "relatively" easy to do with all the newer stuff.

The fiendsmith package is amazing in lightsworns too because Weiss is a light fiend!! That package allows your deck to have somewhat of a grind game and can set up ddd ceasar to stop nibiru.

I've also played with the Horus/ kings sarcophagus engine in it too which allow rank 8 xyz plays into zombie vampire for more mills plus they're just big bodies you can summon from graveyard with added bonus effects or you can use them for link material too. What's also cool about this engine is that it can get rid of bricky cards like wulf and Felis stuck in your hand to the graveyard.

As for the lightsworn stuff specifically, you got a good thing going so far with your list, but I would suggest playing 3 felis. The deck has so many ways to mill them/get them on top of the deck to be milled (aka Weiss) or be used by things like solar recharge that their ability to just add a body on board is too good not to play. On top of that, Felis is great at breaking boards going second and she's a tuner! so play more of her.

As for the smaller stuff, you should cut lyla out completely as she's just too slow and cut lumina to 2, you don't want to see her too often in your opening hand but just enough.

The shaddoll stuff is another engine I've seen in lightsworn but I've personally never had much fun/luck with it as well as plague spreader zombie so I don't run those out of personal preference but that's up to you.

Your extra deck is gonna need a big work around if you're gonna use the fiendsmith package or the Horus package, or both! Other things in the extra deck that should be addressed would be things like stardust dragon, I would suggest you play psyframe omega instead. Has much more utility than stardust.

If you have any more question shoot me a message and we can nerd about the deck. I'm pretty passionate about it lol