On the left, you have the name of the person, than how many hearts you have with them. For dateable people, the last two hearts are grey and you can unlock them later. The explanation will be send to you once you hit 8 hearts with them.
Then there are two check boxes for presents given. You can give two presents in a week to each person. I think it resets on Saturday. The last checkbox is whether you talked to a person that day.