Echoing what others have posted here, this carrier has a bit of a capability mismatch.
The low speed, monstrously long range sensors, and low armor say "I'm a fleet carrier that has no business shooting anyone or getting shot at." But for such a carrier, having less than 1/3 of the hull as hangar and less than 1 full fighter missile reload is pretty bad. And such a carrier should have no need for such a heavy dual-purpose energy armament.
The small fighter wing and significant energy armament say "I'm a battle carrier/battlestar and I'm ok with fighting at knife range," but you lack the armor, speed, and offensive punch for that to be a good idea.
You probably need to either cut back on the integral weapons in exchange for more fighters and more ammo, or find a way to up speed, guns, and passive defenses so that the carrier can actually afford to get shot at.