burns sonic restoration

good evening people
just disovered your awesome burns resources.
anyway, I am restoring my grandads 196x sonic & have a few problems & questions, hoped I'm in the right place for some answers!
(its the maple board, single ply black pickguard & badge version if that helps)
1stly;
the zero fret & 1st fret on the board has been chopped off at some point & the nut glued next to end of the poorly replaced piece of wood for the 1st fret.
my brother says that it doesnt tune up properly because of this..
so do I need to either;
work out the scale length & make a new fret 1 board & have the nut next to that? (will this work/be tunable if I work out the length it should be?) like a guitar with no zero fret
or
just rebuild the whole fret board 1 & the zero fret as it was originally & hope it will tune up?
(i dont understand the zero fret tbh, does it essentially act as the nut/0mm on the scale?)
part of this problem being, i cant work out what length the nut/zero fret >> end of fret 1 should be using a scale calculator (ie a modern guitar is; 2x top nut >>> middle of fret 12)... this maths simply doesnt work on this guitar.
.the 440mm(ish) fretboard length being shorter than the 460mm(?) fretboard length on my strat)
from roughly measuring the scale must be around 600mm (=from existing botched inside top nut >>> about where the floating bridge piece should sit)
but when I use a scale caluculator to work it outs miles out seeing as fret 1>>2 is 32.6 ish mm, fret 2-3 is 30mm, fret 3-4 is 27.7mm
..............................
does anyone have a micrometer/vernier & a sonic to hand that would be kind enough to measure;
end of zero fret(inside the nut) >> end of fret 1/start of fret 2, for the total length of maple I need to craft
&
zero fret >> end of fret 1/start of fret 2 for my fret marking
any help much appreciated, apologies for the garbled first post!
i can post some pics if needed.?
Jim

just disovered your awesome burns resources.
anyway, I am restoring my grandads 196x sonic & have a few problems & questions, hoped I'm in the right place for some answers!

(its the maple board, single ply black pickguard & badge version if that helps)
1stly;
the zero fret & 1st fret on the board has been chopped off at some point & the nut glued next to end of the poorly replaced piece of wood for the 1st fret.
my brother says that it doesnt tune up properly because of this..
so do I need to either;
work out the scale length & make a new fret 1 board & have the nut next to that? (will this work/be tunable if I work out the length it should be?) like a guitar with no zero fret
or
just rebuild the whole fret board 1 & the zero fret as it was originally & hope it will tune up?
(i dont understand the zero fret tbh, does it essentially act as the nut/0mm on the scale?)
part of this problem being, i cant work out what length the nut/zero fret >> end of fret 1 should be using a scale calculator (ie a modern guitar is; 2x top nut >>> middle of fret 12)... this maths simply doesnt work on this guitar.
.the 440mm(ish) fretboard length being shorter than the 460mm(?) fretboard length on my strat)
from roughly measuring the scale must be around 600mm (=from existing botched inside top nut >>> about where the floating bridge piece should sit)
but when I use a scale caluculator to work it outs miles out seeing as fret 1>>2 is 32.6 ish mm, fret 2-3 is 30mm, fret 3-4 is 27.7mm
..............................
does anyone have a micrometer/vernier & a sonic to hand that would be kind enough to measure;
end of zero fret(inside the nut) >> end of fret 1/start of fret 2, for the total length of maple I need to craft
&
zero fret >> end of fret 1/start of fret 2 for my fret marking
any help much appreciated, apologies for the garbled first post!
i can post some pics if needed.?
Jim