Hey dude, I watched your WF matches vs ESAM!! You are definitely getting there dude! We have to talk soon, idk when cuz of school, but what is your skype name? Also, I noticed some things you can improve on! but of course any advice should be taken w/ a grain of salt, but it seemed like you can do even better w/ your OOS punishes and punishes in general. It seemed like ESAM got away w/ a few things. Like you perfect shielded the last game on BF, I believe you daired and then he DI'd out & you got punished >_< Maybe go for Lucas's faster moves that can't be DI'd out of like ftilt/uptilt/fsmash? Idk you seem to be doing a good job w/ that so far, and idk how fast his moves are.
Also some ideas, maybe you could work on your grab game more. I saw that you tried to shield grab him from the ledge but you were too far...dash grab would work. I know his grab is tether and slower, but grab beats shield so you can bait/mindgame them into shielding especially since you nair them a lot(which they always shield) and mix that up in your game. Then once they try to spot dodge, you can adapt back and nair them or maybe charged f-smash?
Also, more up-b mindgames and canceled B moves from dashing? I know you seem to like that Lucas-side-b jump thing(zap jump I believe). But I saw that it only did like 8%? Maybe you could try to b-move them in the air or up-b them instead? Idk how risky or effective it is, and maybe you already have tried it, so idk, but it seems interesting. You can also cancel your dashes w/ b moves and b reversals too, so maybe you can run near the ledge and do an instant up-b to follow punish them.
Otherwise, your Lucas is really good sir! Keep up the good work, and I can't wait for our conversation!