What ship do you prefere to run lvl 1-2 missions and why? Do you think the Amarr destroyer Coercer is best for it? Or is it a frigate? Why do you think your ship is the best?
Any destroyer should have no problem with level 1.
Preferable the thrasher/coercer.
Level 2 you'll need a cruiser, i.e. caracal, stabber, omen, or thorax