Hi there.
Here are my thoughts on what you’ve got so far:
Boys-
Harrison-This is handsome & I think totally fits w/Parker. Kind of posh & last name-ish. Some last names as first names seem trendy, but I think that [name_m]Harrison[/name_m] is dashing. Plus, I love the nn [name_m]Hank[/name_m] if you’re into that.
Luca-[name_u]Love[/name_u] this. Such a beautiful name, but still has a warm slightly artsy masculine vibe. It’s simple & not over done. It’s totally not what I’d first pair w/Luca, but I wouldn’t say that they clash if you really love it.
August-This is really nice too. Kind of outdoorsy, masculine & peaceful sounding. Pretty cute w/Parker. Great nns of [name_m]Ace[/name_m], [name_u]Gus[/name_u] & [name_m]Augie[/name_m].
Sage-I don’t know. It’s not awful for a boy, but it’s used way more for girls. It seems more like a sister to [name_u]Parker[/name_u], really.
River-I love this one. It’s outdoorsy, obviously. [name_m]Just[/name_m] handsome & sophisticated w/a little wild edge to it. I guess it works pretty well w/Parker.
Atlas-This is a very cool name. Smart & spunky, kind of epic, but low key at the same time some how.
Here are a few ideas that you may like:
Atticus
Asher
Bastian
Chance
Crispin
Dashiell
Espen
Esben
Gibson
Holden
Jude
Kai
Koa
Lachlan
Lawson
Magnus
Maximus
Oliver
Oscar
Odin
Rowan
Ronan
Soren
Shea
Tristan
Wyatt
Girls-
Genesis-Now this is an epic name! It’s not my cup of tea, but it’s interesting. [name_f]Do[/name_f] you like [name_f]Genny[/name_f] or [name_f]Ginny[/name_f] as nns? [name_u]Parker[/name_u] & [name_f]Ginny[/name_f] could be adorable.
Nova-I don’t know. It’s kind of trendy. I like the idea of it, but it doesn’t do much for me for some reason.
Daphne-That’s really sweet. It’s well known but not over done. Spunky & feminine w/out being too frilly. Really nice w/Parker.
Avery-Basically every other little girl I meet is called this. And it’s kind of boyish in my opinion. Doesn’t seem super special for a girl.
Jupiter-That’s certainly interesting. I think maybe kind of masculine, but really works either way. Maybe a little too epic for my tastes.
Clementine-[name_u]Love[/name_u] it! One of my favorites. It’s so friendly, spunky, unique yet charmingly vintage. And I like the nn [name_f]Cleo[/name_f]. A slightly different style than [name_u]Parker[/name_u], but it works.
Here are a few girl ideas-
Amelie
Beatrix
Bellatrix
Branwen
Briar
Coraline
Clover
Eleni
Freya
Indigo
Juniper
Juno
Junia
Lyra
Morwenna
Nava
Phoebe
Skye
Tallula
Tullia
Hope this helps.