Banagher's and Audrey's reunion in Episode 5, and Zinnerman and Marida's reunion shortly afterwards.
Alberto's concern for Marida throughout Episode 5.
This remarkably quiet scene from Episode 4 where Audrey has a conversation with an old diner owner on Earth, which can double as a Tearjerker. Through the ensuing conversation, Audrey (and the audience) not only gets to see how things look from an Earthling's perspective. The Federation's whole space program was intended to be a temporary measure to help the Earth recover, which its citizens willingly agreed to pursue...until Zeon and the One Year War shattered the progress being made. The irony of it all is that despite everything, even the best intentioned devolved into hatred, with humanity still having no answer. But its shows that even with bloodshed, the man still believes in the hopes and dreams his forefathers placed in the Universal Century.
In Episode 4, Banagher and Zinnerman are having a conversation in the desert about the ways of the Universal Century. Banagher begins to cry at the sadness of it all. Zinnerman begins to speak, causing a distraught Banagher to mumble "I know, I know... you're gonna tell me that a man doesn't cry in front of others." Zinnerman's immediate response is a quiet, gentle "no." Banagher looks up, wide-eyed and confused and Zinnerman delivers an immortal line: "Crying because you care is an entirely different matter. I don't trust anyone who never cries. That's my philosophy." Banagher breaks and begins sobbing freely.
Episode 6. "F-Father. Will you let me have my way this one time?" Also doubles as a Tear Jerker.