With regards to defense against fighters, small attack crafts - that's what you have CAP for, right?
Our fighters would be helpless against interceptors IIRC; their fire control wouldn't gain a lock till they see the whites of the enemy fighter pilot's eyes.
Edit: Roles I see in our fleet:
Finding the enemy:
AWACS: Long range and high resolution salvaged sensors putting us on an even footing with the Prix in terms of intel, while letting the rest of the fleet run silent.
Recon fighters/drones: Can scout our flanks or suspected hostile planets without being too valuable to lose, and provide sensor data for fighter strikes
Stopping the enemy from getting us:
AMM ships: All our current missile ships have size 1 launchers, and it doesn't hurt too much to equip them that way. I don't think there's any reason to split this from ASM roles, as the interlocking system for defence and missile transfer on attack is proven.
Beam PD: Currently completely absent. Would have to be dedicated to this role or massive if you want to take on a score of 70000 kps stingers.
Hurting the enemy:
Carriers: Long range fighter strikes have use when pursuing a broken enemy, though they're too fragile to do much against an enemy fleet with PD active. Unless that's the plan...
ASM ships: Heavy cruisers provide this on a big scale, but light cruisers and destroyers should have some capability too to provide extra weight to the fleet's salvo and allow transferring of missiles and planetary bombardments.
Bombardment ships, mine layers: Differing speed size 8s have proven promising for planetary bombardment, while minelayers can carry special munitions.
Also: Missile tenders, rocks
I think we're best off avoiding closing to beam range, unless we've made big breakthroughs. Beam fire control research is expensive, and we're just going to get massacred if we're not comparable in tech - we'd have to close several hundred thousand km while under heavy fire. It'd make the charge of the light brigade look like child's play.
Weaknesses: We have no way to get through comprehensive beam PD. None at all, short of complete saturation.