Brawling will only get you killed.
A frigate will do a better job at level 2 missions. Let the NPCs come to you, not the other way around.
You want to control the fight. Let them chase after you, while you keep your distance and shoot them one by one.
If I recall, level 2 may have a cruiser in them, so that will be your last “boss” target. Stay out of range of that “boss”.
Back when I started, I had the same idea but my Cormorant was roasted so quickly, I couldn’t take one shot.
My Merlin however did not let me down. I think the Incursus will be a better choice or if it has to be drones, the Tristan will be your ship of choice.