(Your about 3 to 4 months in this one)
Percy
Annabeth has hinted to Percy she wanted to get back together and be your official mother. But of course, being the Seaweed Brain that he is, he was completely oblivious to Annie's hints. It took for her to confront him about it for Percy to finally recognize her hints. Of course, he wanted you to have a mother, and he knew Annabeth filled that role perfectly considering how she takes care of you like your her own flesh and blood. And he still loved Annabeth with a passion. He was reluctant about it, but he and Annabeth got back together and as a bonus, he made her swear on her honor that Annabeth was to always remain true to Percy and to not let a stupid job get in the way of their relationship again.
Jason
No one. He will never be able to move on from Piper. That sadly means no mother for you. But that doesn't mean that a female friend of Jason's doesn't fill in the void of mom. Hazel practically adores you and steals you from time to time. (One of my mom's friends used to do this. She didn't think she'd be able to have children and she kinda adopted me as her own until I was 2. My mom was fine with it as long as I wasn't hurt. And now my mom's friend now has 3 beautiful children of her own!) Same goes with your Uncle Percy. Man, you'd think he was female with how much he spoils you.
Leo
Same as Jason's. Except he is slowly starting to move on. You've helped him out tremendously by giving him a distraction and teaching him that things always happen for a reason. You may end up getting a mom soon!
Nico
Nico was already in a relationship with none other than Will Solace when he became a fugitive. It was a bit difficult for them trying to see each other considering they were on different continents, but they made it work. It became even easier when Will decided to move to Italy and live with you guys. You were finally able to see the man that your father always gushed about and talked to in the pretty colorful thing. Will instantly warmed up to you and happily took on the role as your father. You instantly liked him and excepted him with no hesitation, both Will and Nico were relieved that you did. Soon, your family dynamic changed from one parent to two. You saw Will as your father and Nico as your mother, seeing as how Nico practically acted like a mother hen when you were around strangers and Will was a lot more chill about people seeing you.
Edit 6/14/18: Just doing some maintenance