The needle in your phots should be fairly easy to make if you have some 3/16 stock or an extra OMC coil screw on hand although the coil screw might be too hard. As mentioned, after setting up to copy the original taper, super light cuts with a sharp bit or insert will give you a fine point. Here’s where a set of collets do come in handy as using one will give better accuracy and you wont have spinning jaws trying to grab your slides or tool post!
Here’s a couple needles I made, one for a Koban and one for a Thor mixer. A straight knurler was used on the Thor adjusting knob while I was able to salvage the original one for the Koban. The original Thor needle was missing so I had to guess what the original looked like and its dimensions.
