[name_m]Chandler[/name_m] and [name_f]Fallon[/name_f] are my favorite out of your list and I think they are both perfectly unisex names. Plus I think they both flow well with [name_m]Abbott[/name_m].
[name_f][/name_f]Some other ideas might be:
[name_f][/name_f][name_m]Falcon[/name_m]
[name_f][/name_f][name_f]Riley[/name_f]
[name_f][/name_f][name_m]Carlisle[/name_m]
[name_f][/name_f][name_f]Skyler[/name_f] or [name_m]Sky[/name_m]
[name_f][/name_f][name_m]Chance[/name_m]
[name_f][/name_f][name_m]Felix[/name_m]
[name_f][/name_f][name_m]Phoenix[/name_m]
[name_f][/name_f][name_m]Carter[/name_m]
[name_f][/name_f][name_m]Casey[/name_m]