Down to the last few weeks

I think all of your options are great as a brother to [name_m]Luka[/name_m]. I’m not sure if you’re thinking of [name_m]Julian[/name_m] as a middle or a first but I like it with [name_m]Luka[/name_m] and as a middle with [name_m]Tate[/name_m] and [name_m]Max[/name_m]. [name_m]Maxwell[/name_m] is a lovely longer name for [name_m]Max[/name_m].
My personal preference on firsts are:
[name_m]Maxwell[/name_m] “Max”
[name_m]Julian[/name_m]
[name_m]Jude[/name_m]
[name_m]Tate[/name_m]

[name_m]Maxwell[/name_m] [name_m]Julian[/name_m]
[name_m]Tate[/name_m] [name_m]Julian[/name_m]

Some other longer middle ideas:

[name_m]Maxwell[/name_m] [name_m]Alastair[/name_m] or [name_m]Alasdair[/name_m] for a matching Scottish vibe
[name_m]Tate[/name_m] [name_m]Laurence[/name_m]
[name_m]Jude[/name_m] [name_m]Alexander[/name_m]
[name_m]Jude[/name_m] [name_m]Sebastian[/name_m]
[name_m]Maxwell[/name_m] or [name_m]Tate[/name_m] [name_m]Jameson[/name_m]