[name_m]Max[/name_m] is an awesome name!
Your children have amazing names, by the way.
I’ve never seen that show or heard of those books, but I don’t think that a children’s animated series is a bad association or a deal breaker.
If you love the name [name_m]Max[/name_m], go with it! I think [name_m]Max[/name_m] [name_m]Sullivan[/name_m] would be a very handsome name, if you don’t have a middle name in mind already.
I think [name_m]Jack[/name_m] and [name_m]Finn[/name_m] are great ideas for your third child as well. I would like to suggest [name_m]Maverick[/name_m] nn [name_m]Mack[/name_m] or Mav.