I received this head set, in a bunch of parts.
It's size it is not marked.
It looks to be 1", but I wish to be sure.
The parts in the pictures have the interior diameter of 29/32" and 1 1/128".
What's your opinion?

1"

Well, a 22.1 mm stem is nearly 28/32, and 1.whatever is more than an inch for the steerer. What do you think?
It seems to me that the crown race inside diameter is also somewhat critical for fitting it to a fork; likely to be 26.4 mm, but might be 27.0.

IIRC they sold with both race diameters (26.4 and 27.0) and I have gone thru a number of these over the years (they were good-ish quality at a low price so I used them on a few flips) so if you find the race size is wrong for your fork shoot me a PM.
No guarantees but I MIGHT have a spare race

I seem to recall that the "Logic" headsets were made for Ritchey by Tange, so there's a good chance that the race seat diameter is marked on the crown race itself.

the unit I have in box (box says it's a Logic 1" threaded HS but no race size indicated) does not look exactly like the OP's pix, it has a black finish race which also has no size stamped on it.
So you have to measure with a digital caliper to be sure.