[Radioroslyn]

Hi Todd and welcome,
The ant coil winding isn't very critical. Within reasonable limits you won't notice a difference.
The osc coil is more critical, direction and #of turns is. Wrong direction (out of phase) won't oscillate. Not enough turns and it won't oscillate at the low end of the band.
38Ga I believe is the original size but 36 or34 is fine.

The cathode resistor was changed a bit over the run to add a little more gain to the mixer  and makes the osc a little more reliable.

That reminds me I got an 81 to look at.

Terry
ps Don't forget to change all of the paper caps and check the resistors you'll find most are out of tolerance.
pss I think one of the coil pins is connected the bracket so it's gnd connection for the resistor and cap.