Questions on gameplay (Star Control: Origins)

Offer here the questions to ask.
Answers and explanations the sample questions can be read here
Спойлерhttps://games.mail.ru/pc/articles/secret/kak_igrat_v_star_control_origins_bazovoe_rukovodstvo/
At the moment it is not clear how to capture the sector under the influence of the friendly factions, or of his race.
It is not clear how to repair ships in your fleet. My personal like is repaired when you arrive at your earth base. But what about the others is not clear.