key fragment impossible?

Alright it has been 17 wins (not 17 games, 17 wins) since my last key fragment. I have gotten 4 (3 used to open a chest) and have 2 chests ready go get penetrated by some long and big keys.....but I have no keys :C so i'm starting to wonder: is there a limit to get keys on champions like on chests (1 chest per champion per season) or am i just really unlucky? I am not the most patient person in the world and neither do i have a lot of time and skill to win a lot of games per day. Does a premade party increase the odds? does playing normal or ranked? does playing aram or SR? So many questions, I need you guys for the answers.
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