Aster - I'm surprised that I actually like Aster a lot, but I tend to picture it as a girl name because it sounds so much like Esther. That said, I think it could work as a boy name paired with a masculine middle - it definitely has a lot of the sounds that are popular for boy names right now.
Chandler - I've just never been a fan of this name. There's nothing wrong with it, I just personally don't like the way it sounds.
Capulet - I just can't picture this as a first/middle name, sorry. It's completely surname to me, and actually the -let ending lends itself better to girls than boys. The Romeo & Juliet reference is cool, but if that's what you're going for I'd probably pick a different name from the play to use - there are so many cool uncommon Shakespeare names to choose from.
Oliver - I love Oliver! It's one of those names I love but will probably never use. It's so handsome and buttoned-up but you can also get the cute nickname Ollie/Oli out of it if you want to. I work at a daycare right now and I recently met a sweet little Oliver and that positive association has just made me like it more.
Iris - Iris is a really pretty name, I'm sort of surprised it's not more popular. This is a name I wouldn't use personally but would love to see on someone else's child. I feel like it has a little more spunk and personality than the outdated Lily and Rose, and I like that.
Malia - This one is okay, but it feels a little awkward and too short for me, probably because I like Amalia a lot. That one extra syllable makes a huge difference to me in making it feel like a complete name. Also starting with the Mal sound emphasized is not my favorite thing, especially since it means "bad" in French. Sorry!
Lydia - This is one of those names that I've always been ambivalent about. It's a nice name - pretty, different, and not too common - but I'm not a huge fan, no particular reason why.
Mona - I'm starting to think maybe I just don't like shorter girl names that start with M and end with A. Mona just feels a little clunky to me, like it wouldn't flow off the tongue right, but maybe that's just me. I'm just not a fan of the sounds in this one.
Paisley - Just never been a fan of this name. It strongly reminds me of paisley print fabric, and I personally wouldn't want such a strong association with my baby name. However, if you were to name a child this, you'd probably not have to worry about it because your child would become your biggest association with the name. I say if you love it, use it, it's not that bad.
I hope I wasn't too harsh on the names I didn't like! Definitely take it with a grain of salt, everyone has different tastes. You have a really interesting and diverse style, and I really like Aster, Oliver, and Iris!