If I equip my carrier with the same weaponry as the adv delta flyers and use the appropriate consoles to boost damage will it also boost the damage of the delta flyers ?

If pets knock down shields, as Delta Flyers and the Stalker Fighters do, you would do better using something with more damage to take advantage. I am going back and forth from Antiproton for damage and Polaron to complement my power drain abilities.

What is mostly important for the carrier is your crowd control options. I like Gravity Well, Power Siphon, and of course Tyken's Rift 3.

Regardless of which powers/weapons you use yourself it is a good question: do console/skills give an boost to the weapons/abilities of pets

No and no. Exempt the power siphon drones.