Crafting Questions
Question 1. I assume the handle of a hatchet is part of the raw materials needed when a weaponsmith crafts the hatchet's head. The handle he buys from....the Craft (carpenter), I suppose?
Likewise, the fletcher buys arrow heads from the weaponsmith, which are included in the cost of raw materials when making arrows.
Can a weaponsmith make a hatchet without access to a carpenter (i.e., the weaponsmith makes the handle himself)?
Can a fletcher make arrows all by himself without access to a market where he can buy arrow heads?
Can a bowyer also make arrows?
Question 2. Can a weaponsmith make a club or a quarterstaff? Or, is this the realm of the carpenter?
Question 3. How do you figure the time it takes to craft a club or a quarterstaff when the items are listed with no cost?
IMO;
1. Why not? You don't need metal arrow heads, you can craft an arrowhead from stone or even just sharpen the shaft to a point, range and accuracy may suffer, but it is doable - so a fletcher should be able to make an entire arrow himself. Even still, an arrowhead is a very simple mold to make so even metal arrowhead shouldn't be hard to produce. Sharpening them takes longer than actually making them.
Same for the hatchet, a crude handle is easy to produce and wedge into place.
I have something similar in my hiking kit, a chain length of saw blades that you just break some wood to put through the metal loop ends for handles (you could just use your fingers in the metal loops, but this makes them sore after a lot of cutting).
2. A club is something as simple picking up a good heavy stick and beating people with it. Quarterstaff nearly the same, just a longer piece of wood. Anyone can find a good length of wood and cut the extra branches off and peal the bark, wrap some cloth around your handle.
3. For a simple weapon like that I'd say 1 day, as it has no cost its not like they can sell them for any gain. But what your really want here are good quality, or masterwork, clubs and quarterstaffs, and these have a price of 300gp. This represents your well crafted, balanced, leather wrapped grips, maybe even metal-shod, styles of clubs and quarterstaffs. There is a difference in crude weapons and tools (hatchet) versus weapon quality.
Another thought; if having a weaponsmith crafting a club or staff is a troubling thought, require them to have 1 rank in craft (carpentry) to make weapons with mostly wood components. They'd still use their craft (weaponsmith) skill for their craft checks and whatnot, but the woodworking skill is still represented.
Though you can use craft untrained, so for simple wooden handles that shouldn't be too big of a hangup for anyone. Actually having skill ranks means you are better trained then the average joe.
I have absolutely no ranks in plumbing, but I fixed my leaking toilet and changed out the garbage disposal just fine... took me longer than a plumber may have been able to do it in, but I was still able to do the job.