Regarding Spider-Man's age, it was brought up to me that The LEGO Movie's Batman has been alive since 1966. That's a different continuity that probably works differently, but interesting to note. Spider-Verse's scenes should probably be set in the release year of the film if we're being realistic. Each reality takes place in a different year seemingly, so why are we assuming that the LEGO universe is the same? Well, there's no good placement for it anyway. I like to think that Peter joined the Spider-Society as a result of the multiversal events depicted in the last game.
Added the 7 issues of LEGO Marvel Super Heroes anyway. I think the Ultimate Spider-Man content fits perfectly after Maximum Overload which seems to be this universe's start of the Ultimate Spider-Man cartoon era, with Spider-Man joining S.H.I.E.L.D., getting that bike and Drake Bell's voice talents (ew). Kinda funny that this universe somewhat combines Earth-199999 and Earth-12041 elements. Spider-Man seems to be mostly based on that version if you ask me.