The middle name Anthony is in there because that’s my first name. The middle name Frank is an option since that is my late Father in-law’s name. Also, It’s worth noting that the last name is pronounced waykeen with the emphasis on ‘keen’. It changes the flow a bit. However, everyone will mispronounce it so I will have to accept that most people will pronounce it as Waykin like the word “taken.”
[name_u]Paxton[/name_u] [name_m]Anthony[/name_m] gets my vote. I love the meaning of [name_u]Paxton[/name_u]. [name_u]Logan[/name_u] is a bit too common for my taste, and [name_m]Atlas[/name_m] I sort of only like in the middle spot.
My favourite from your list is [name_u]Logan[/name_u]. I do think [name_u]Logan[/name_u] [name_m]Frank[/name_m] would flow better than [name_u]Logan[/name_u] [name_m]Anthony[/name_m] (due to the repeated “an” sound very close together).
I do have 2 concerns with [name_m]Atlas[/name_m] but I don’t know if it’s valid. [name_m]Atlas[/name_m] is a big name to wear. [name_m]Atlas[/name_m] also sounds close to [name_f]Alice[/name_f].