To my knowledge, there is no early game restriction to importing pokemon from HOME into your saves, in SWSH, BDSP, or PLA. Exporting pokemon into HOME from those games on the other hand, does have some restrictions. https://www.serebii.net/pokemonhome/transfer.shtml
In SWSH, LAN Mode can be enabled by going to the options/settings menu ingame and holding L & R, and pressing in the Left Stick like a button.
LAN trades on the other hand, are not something we're going to assist you with here, as it's primarily used to distribute wildly illegal pokemon that would otherwise be blocked via SWSH trade servers, and that goes against our policy of "please do not cheat at the expense of others". Handing out illegal (and potentially bannable) pokemon would obviously qualify.