cheiftang- The 2836 and 2824 are different in terms of thickness and stem placement. With regards to stem location, I found this out when trying to build my franken-datejust using a genuine case. The 2836 wouldn't line up, but the 2824 fit perfect! So, for the TW Best... I would suggest the 2836, as that is what those came equipped with originally.
Winding stem should be a tap 10- Crown will be a tap 10. I would take this oppotunity to add a genuine crown and tube as that will make for a huge difference in function, feel and aesthetics.
cheiftang covered everything else with regards to hands, insert, etc.