Here's my advice; take, leave, or constructively criticize it. I don't want to be annoying by trying to push my strategy on everyone, and I'll stop making suggestions if people get annoyed, but I think we might have an opportunity for a crushing counter-offensive in the south, and I'd like you to at least hear me out.
We're doing well in the south, but we've got 3 enemy fleets in Kardoen, which threaten to either attack our fleets in Hydra or Draco or reinforce Aldebaran. By metagaming process of elimination, as Lorric has concluded, 2 of them are the 1st Fura'ngle and Hertak fleets. Like it or not, we'll be dealing with them shortly, and I'd rather deal with them on our terms. As risky as this might sound, unless taking the Cordi surrender in Draco requires an action (which Spoon hasn't said it does, and maybe even if it does), I propose that the 3 fleets in Draco advance into Kardoen and attack the second 1st ? Fleet. All the Draco fleets are above 90%, and capable of launching an attack. This game's battle system rewards taking the initiative; if we attack the Kardoen fleets first and heavily damage one of them, even if the enemy retreats the damaged fleet and brings in another from the system behind Kardoen to counterattack, we'll at least have pushed the front lines back to Kardoen and have hopefully mangled their strongest fleet in the first volley. I think the second 1st ? Fleet in Kardoen might be the 1st Hertak Fleet, and we do NOT want to hand them the first attack; the 1st Zy Fleet mangled the 4th SF in Tauri by itself when it attacked first, and the 1st Hertak, backed up by the other two Kardoen fleets, could do worse damage to allied forces in either Hydra or Draco if the Draco fleets just hold in Draco and the enemy are allowed to attack unimpeded. If we (hopefully) hit the 1st Hertak first with 3 fleets, we'll at least do serious damage before they can get an attack in. Not to mention, the fleets holding in Draco would be effectively out of the action for a turn if the Hierarchy just ignores our forces in Draco and makes a push into Hydra. Considering all these factors, I believe that defending Draco is a bad idea, and we would be well-served to counterattack instead.
To supplement this push, I recommend moving the 1st LSF into Draco. They would be in position to relieve the fleets which would now be engaged in Kardoen. Even if taking the 4th Cordi's surrender does require an action, and therefore would prevent all of the Draco fleets from moving and attacking if one of them were to take their surrender, I think that if the 1st LSF could be brought into Draco while the current Draco fleets attacked into Kardoen, they could prevent the 4th Cordi from doing anything too dangerous.
I volunteer the 4th CRF to relieve the 2nd LSF in Hydra.
We should be able to hold both Tauri and Aldebaran, especially if the 3rd DD is deployed to reinforce the north.
Frankly, rather than try to keep the fleets on both fronts balanced, I think we should be going for a decisive push in the south and trying to secure Kardoen. With the powerful enemy fleets incoming, it won't be easy, but I don't see a better strategic option. If we can retake Kardoen and wipe/drive out all the southern fleets, we should be able to hold Kardoen against most any expected attack with 5-6 fleets, allowing us to then commit to the north. If we keep doing what we've been doing and just keep trying to hold the enemy, we'll probably lose a war of attrition to the Hierarchy, who probably have many more fleets than we do. Onward, to decisive victory! Who's with me?
TL;DR: We should mass and attack to the south, unless we want to get overrun by the enemy fleets massing in Kardoen.