Ari,
Appreciate you showing work, but it helps if every quantity has a unit attached to make it a little easier to follow what you did. Your problem doesn't specify an initial temperature. It seems like you are using 0 degrees C, but it's not really clear if this is the value you should be using. From a literal reading of the problem as written, it seems like they want you to determine the amount of energy required to convert 65.6 g of water (at 100 deg. C) to steam (at 100 deg. C), in which case there would be no Q1, only the Q2 value.