What is the conflict and the solution for act 1 scene 2?

There are a couple of conflicts here. One involves Paris asking Lord Capulet for permission to marry Juliet, but Capulet insists that Paris should be patient, since Juliet is only thirteen. However, Capulet does grant Paris permission to woo Juliet and thereby win her approval. Capulet suggests to Paris that he should try to impress Juliet at a masked ball that the Capulets are hosting that evening. Capulet then hands his servant Peter a list of names and orders the man to invite everyone on the list to the party.

The other conflict takes place out on the streets. Peter runs into Romeo and Benvolio, who are talking about Rosaline. Peter cannot read, so he asks them to help him interpret the list. Romeo and Benvolio comply, and upon reading the list, they discover that Rosaline will be at the Capulets' party. They decide to attend - even though it is a Capulet party, they will be able to disguise their identities by wearing masks.