As a Gallente mission runner, you want to maximize drone skills. In general, take skills to level 3 for competency (minimum level before using the skill) and level 4 for proficiency. For example, get your frigate skill to at least 3 before you run the more serious missions. Get your drone support skills up to level 3. Blasters are PvP weapons so direct any gunnery training towards rails like Nova said. Finally, train some navigation skills so you can use afterburners efficiently. Afterburners will allow you to "kite" enemies, which is a useful technique when at lower skill levels. Basically, kiting is running away from the rats and killing them at range while they chase you.