Myrmidon is a very capable ship.
Instead of using light, med or heavies - if you are Omega switch to Sentry Drones. The Myrm has 100m bandwidth, allowing it to field 4 of these drone type. I would point you towards Wardens.
Omnidirectional Tracking Enhancer II
Omnidirectional Tracking Enhancer II
Damage Control II
Drone Damage Amplifier II
Drone Damage Amplifier II
Drone Damage Amplifier II
F-90 Compact Sensor Booster
Medium Micro Jump Drive
Large C5-L Compact Shield Booster
Upgraded Thermal Dissipation Amplifier I (mission rat specific, these are Serpentis)
Upgraded Kinetic Deflection Amplifier I
Drone Link Augmentor II
Drone Link Augmentor II
Medium Drone Durability Enhancer I
Medium Drone Durability Enhancer I
Medium Drone Durability Enhancer I
Warden II x 4
Hobgoblin II x5
Salvage Drone I x5
Targeting Range Script x1
You could switch out the drone rigs for something else. Tthe range for wardens reaches 100km and the targetting also gets to 100. The MJD gives you instant 100km bufffer. You just have to be careful which direction you jump in. If you can also fit it, add a small RR armour. Or options like a Auto Targeter - which increases the number of locks that the ship is capable of. (my skills are maxed here, so YMMV)
You want to focus on the small NPC first, because these are the fastest to get under the tracking of the wardens.
Once out get used to this, you can apply the same skills and observation to L4 and the Dominix.