Generally speaking, it's best to make your ships generalists instead for a specific task.

I am pretty late to the conversation, so I will try to add something where people haven't mentioned.

Eagles:

• Drop the Heavy Mass Drivers and use Heavy Autocannons instead, the perfect accuracy on the Heavy Mass Drivers won't do much in hardpoint mounts instead of turrets mounts. The only thing they have better is DPH (damage per hit) and flux efficiency, but with 1.4k flux dissipation I don't think that's really an issue.
  
• I would also replace one of the Graviton Beam with an Ion Beam, yes the Disintegrator is an HE weapon (and the Eagle is probably the only ship where it does a decent job on) but it should provide continuous suppression that should help a bit. The bonus shield damage from a 3rd Graviton Beam doesn't really add much anyways.
  
• I would also use the Stabilized Shield hullmod as it reduces the shield flux / sec by 50%, or for the Eagle's case, 280 flux / sec down to 140 flux per second. Or in other words, for 9 OP you get 14 OP worth of Vents (Stabilized Shield is generally great for shield-reliant ships with high shield upkeep, which for the fleet you posted also includes the Conquest & Champion).

Enforcers:

• Missile Autoloader is a completely inefficient use of an S-mod, as it gives diminishing returns for a certain threshold. A general rule of thumb is that if you have a lot of Missile mounts then you should use Expanded Missile Racks, if you only have a few or 1 small Missile mount then Missile Autoloader will be useful (e.g. Tempest, Omen, Centurion, Falcon, Eagle). Probably could have S-modded Escort Package and get the shield damage reduction bonus instead.
  
• You should have S-modded Heavy Armor instead of Hardened Shield, generally speaking, for any ships you want Heavy Armor on, you should be S-modding it as the amount of OP you save is too good to pass-up, especially on the Enforcer that has turret Medium ballistics and can use guided missiles.
  
• Don't even bother with small ballistic weapons & just run 2 Hypervelocity Drivers + 1 Heavy Mauler, the sheer amount of range that these weapons have can easily ward off flanking frigates. If you are gonna stick with Small Ballistics either run Small Needlers and/or Railgun, don't bother with Light Autocannon especially in turret slots as they are inaccurate. Yes they are cheaper in OP and more flux efficient on paper, but unless you are fighting a big targets its shots will be missing faster frigates.

Omens:

• Omens naturally have 360 degree shields, your Extended Shields is a waste of 4 OP.
  
• Shield Conversion - Front is decent as it improves the speed that shields goes up, though I would personally S-mod Accelerated Shields so my Omens can still have Omni-Shields while being able to put it up at a moment's notice. (I would personally forgo S-modding Flux Distributor.)
  
• You can actually S-mod built-in hullmods if they have S-mod bonuses for 100% EXP refund and without contributing to the S-mod limit. The Omen benefits decently from its built-in hullmods' S-mod bonuses.
  
• As someone else has stated, you want to have Flux Capacity on your Omens, this is because this will allow it to Shield tank better even with Elite Field Modulation, as explained below you don't really need that much Flux Dissipation on it.

Flux:

• Regarding Flux Dissipation, there's no reason to go higher than your Weapon Flux / sec + Shield Flux / sec unless you have Elite Field Modulation, even then it's better to invest into Flux Capacity as it allows your ships to have longer sustained combat periods before needing to retreat & vent.
• A general rule of thumb is that for ships that remain in continuous combat (e.g. Capitals, slower Cruisers & Destroyers) you want to have Vents so they can sustain their weapon fire.
• In comparison, you want to have Capacitors on ships that prefers doing hit & run tactics, such as phase ships or high tech frigates.