[x] While you don't mind Dany's attentions, it is still too soon for such thoughts. Yes she is of age, but you've only just gotten somewhat settled in a home. Perhaps it would be best to wait and let things settle down before making any betrothal announcements. You should tell her, but save the announcement for a better time, when you can host a ball or other event.
[X] Try to discover information on Dragons and Dragon Eggs. Though this will be difficult, maybe even impossible, you need to figure out how to hatch those eggs.
[X] Hmm, maybe it's time to look into these 'Dreams' you've been having. Seeing as the Targaryen bloodline has had a few seers here and there, it would be beneficial to either write down anything we remember or ask Dany if she had any.
[X] Unlike most Dragons, you are repulsed by the idea of marrying Dany. While she herself is not repulsive, the relations you bear make things different. This custom of marrying kin will end here.