Corellia Fleet Mission in ROTE TB

I have a question about the fleet mission in the Corellia planet on ROTE phase 1. My Executor is not yet 7*, so I have been trying other fleet ships. There's great videos out there that have been helpful, and I have won it in the past. But over the last 5 tries or so, I am getting crushed every single time in the Corellia fleet mission. Oppo seems to have unlimited tm and mass assist capabilities (and I can never get a HT summoned anymore!).

Can someone explain the Abilities Affecting Territory section of this mission? I understand that each side gets a summoned cargo ship and I understand the Shipyards mechanic. But what is Imperial Might" and "Rebellious Persistence", and particularly "Back Alley Deals" ability? What determines which ship(s) has this ability? I'd love to know more about these abilities in case it helps me determine which ships I should use.

Thank you for your time. I appreciate any feedback.