Emery risking possibly severe penalties to at least give Julia some hope by searching for cyper in The Sector. Doubles as a moment of heartwarming as it shows how close they've been as friends over the years.
S01 E04 - And Left No Friendly Drop
Emery taking a lucky guess and saving Sophie with an epi-pen injector.
Even the more racist members of the Marshall High swim team join their Atrian fellow students in fighting the Collier Prep team after they discover the attempt to harm Sophie with a caffeine-laced drink.
S01 E06 - Stabbed With a White Wench's Black Eye
Julia managing to get the location of the Red Hawk meeting out of Eric without in the least acting like she's fishing for info. What totally sells it is leading off with an apparently legitimate interest in an anime film being shown at a movie theater.
Emery managing to sic a reporter on a Red Hawk meeting at which a major leader unwisely makes a speech outlining their terrorist goals, and on the way, corrupting a recording of her discussing cyper with Julie, so the reporter can't keep blabbing without proof.
S01 E09 - Some Consequences Yet Hanging In The Stars
Drake and his mother effecting a Dynamic Entry to attempt to save Roman.
Castor gets an evil moment of awesome when he turns the tables on Roman by playing on lingering Atrian resentment of Emery's father (as well as Trag hatred of humans, generally) and announcing, with video recordings, Roman and Emery's romantic relationship.
S01 E10 - What Storm Is This That Blows So?
Roman doing an absolutely epic beatdown of Burke.
And then, Emery manages to get Miss Benton caught in the act of threatening Julia, and Gloria has both Benton and Burke taken away as "security threats" because of the importance the government places on a smooth integration program between the Atrians and Humans.
S01 E11 - Give Me a Torch
Roman and Drake's effective Batman Gambit to set Castor and Vega at war with one another, and get Castor removed as Iksen as a result.
S01 E12 - This Trick May Chance to Scathe You
Teri's very abbreviated "The Reason You Suck" Speech to Castor, mainly with actions instead of words, upon her discovery that he tried to kill Roman with a poisoned knife:
Teri: I'm only upset the effort reopened your wound.
(She makes romantic overtures to Castor, distracting him)