I love [name]June[/name]! [name]Just[/name] out of interest, I’m not trying to discourage you, why are you going to put the names which will be used in the middle?
With [name]June[/name], another one syllable wonder would be perfect, not theme-y but very cohesive. I adore some of these :
[name]Fern[/name] (but they would both end in the N sound)
[name]Gwen[/name] (again, both would end in the N sound)
[name]Rose[/name] (although this is very popular in the middle slot, where it would technically be … I don’t know whether that would bother you or not)
[name]Wren[/name] (the N ending again).
As for names with more than one syllable, [name]Freya[/name] sprung to mind. It’s really popular here in the UK, but if you are elsewhere I think it would be a great choice.
Oh, and I always play around with combinations and try and perfect the names of my future children, and I’m not even close to marrying! If I have to change them when the time comes, fine, but it’s fun to do anyway
Good luck! [name]Auburn[/name]