Lovely lathe you have there but it is very old. From the 1950's I think.
The spindle thread can be 2 sizes, either 1"x 8 TPI or 1" x 10 TPI.
I think yours will be an 1" x 8 TPI.
We do have face plates for this.
We have 75mm (R340.00) and 150mm (R480.00)
The pulley is a different matter entirely. I will need the shaft size and the sizes of the pulley on the motor, this should be a 4 step pulley. The replacement pulley will not have the indexing pin holes on it.
This is a link to the details on your lathe.
Please let me know if I can be of any other assistance.