Actually, you shouldn't be in a hurry to rush through Season 1. There's a lot of things for you to do (Themes, Reaper, Wasteland, maybe BurgerNinja if you feel up to it), so I wouldn't advise it.
That said, if you feel you have to hurry to the cap, load up on NinjaOns from the Jackpot and Bitter Medicines for now. Bitter Medicines only work as long as you're Genin/Chunin anyway, so use them while you can. When you get them, run general missions with Pinky 2 and Stalkergirl 2 unless you have specific things to do (levelling Allies for example).
Also, what type of ranking do you mean? Hitting the level cap? Getting the Ranking XP needed to pass the Jonin or Sannin exams?