May I ask if this is a one-star map? If it isn't, you could rush for another system and colonize the planets there, then set up SB defense at that star, build up your fleet and attack, if it's NOT, then I suggest making a decisive stand, lure in their fleets and crsh them, then steamroll them b4 they can rebuild their fleets.
Using Garda's to soak damage while also having Percherons and LRM's is one of my fave early game tactics, however you'll need to manually tell them to attack ships, and turn off Auto-Attack for Hoshiko's. Make sure that your Akkan has the passive ability that increases range and accuracy to get the first shots off and increase your Garda's fighting potential (all other units have accuracy of 100% but flak units) Spreading your culture into their territory will help you regenerate Anti Matter so your Akkan's Ion Bolt can stun their caps for longer, and maybe even using the Akkans' Ultimate (Forget it's name) to save your ships, then Kite w/ your Akkan and Carriers AWAY from the enemy fleet so your SC can rape enemy ships while they can't fire on yours (Fighters and flak will, however, still fire at ur bombers) Building a Marza or a Dunov to provide heavy fire and support for your fleet would also be a good idea, Dunov gets either Magnetize or Shield Restore, depending on the enemy fleet, and the Marza should get Radiation Bomb (Only build either ONE or the OTHER, the Marza will eat up smaller ships, especially with Incendiary Shells and Radiation Bomb stacking damage, however RB is expensive, the Dunov will disable enemy SC w/ Magnetize, or Keep another friendly cap alive for much longer w/ Shield Restore) Auto-Manage your Caps abilities, the AI sux at using Cap abilities, save for Hoshiko's repair, just keep them close to the front. In essence, your fleet should look like the below while fighting:
LRMS
LRMS------CAPSHIPS/CARRIERS---HOSHIKOS/GARDAS/COBALTS
LRMS------CAPSHIPS/CARRIERS---HOSHIKOS/GARDAS/COBALTS
LRMS------CAPSHIPS/CARRIERS---HOSHIKOS/GARDAS/COBALTS
LRMS------CAPSHIPS/CARRIERS---HOSHIKOS/GARDAS/COBALTS
LRMS
The Garda's should rush enemy LRF's, the Cobalt's enemy Carriers, the LRM"s should target support/cap ships and the Cap ships should just eat up the fleet overall. (Pressing ALT while selecting a ship in the Empire Tree will select all ships of the same type in that Grav Well, helps out alot in large scale battles) If you're feeling really gutsy, you could Pilot the Akkan/Dunov's right into enemy lines, allowing both sides to fire on enemy ships, maxing out damage.
Any other Cap ships or capable research you have? If you can make Cielo's and Kodiaks, go for it, if you have other caps, tell me and I'll put them into the strat.
Xer0 \^/