The Lasso Of Truth doesn't have magical properties.It's just a relatively normal lasso. It's called that because she, well, uses it to get the truth.
In a later episode, the plane would have turned invisible.It would be revealed to be a cloaking option that could be turned on or off.
Wonder Woman uses a Paragon/Renegade system, a la Mass Effect.What we're seeing is the Renegade playthrough.
The "Lethal Force" Speech...... Was an attempt to justify Wonder Woman murdering the guard because if deadly force begets deadly force, then if she's being shot at, she can kill the guy to defend herself. Unfortunately, this is probably another way the writers didn't know how the law works, because they failed to realize her being there without a warrant and beating the crap out of the others makes her the instigator, and so he's in the right for trying to defend himself, and she's a murderer for breaking and entering and killing someone while she's in a place she's trespassing on.
This Wonder Woman is either related to or trained by Crazy SteveWith so much of Wonder Woman's back story and demeanor scrapped away making her Wonder Woman In Name Only, she might as well have a different back story on how she learned those brutal tactics and who crazier to learn from than "The Goddamn Batman"?