Lauren- I think that's when compromising comes into play. Let him know that you would like him to be a little more attentive- use the computer example. I understand the need to wind down after you get home from work, and I'm assuming he's using the computer for that, but he also needs to keep your feelings in thought. Maybe allow 30 mins on the computer then the rest of the time he's to spend with you.
As for the dishes, he can't bitch if they are dirty in the sink if he's not making an effort to help. Or since you don't work during the summer, why not leave them at night and clean it up in the morning?