At the end of The Last Hope, during the Final Battle, Half Moon refers to Jayfeather as her love. ... Although Jayfeather does not approve of the relationship he sympathizes heavily implying he was remembering Half Moon.

Do half moon and Jayfeather have kits?

Half Moon and Jayfeather, as much as they loved each other, couldn't have kits.

Who loves Jaypaw?

During his visit, he is taken back to the ancient Tribe times. He begins to show more and more affection to Half Moon, at one point falling in love with her.