Early on, there isn't much that you can make that the villagers consider valuable. Depending on the type of PC you create, some cannot actually make anything! I've played PCs that took two days just to make a simple shelter! And, they had not the simple skill of making a javelin!
However, assuming moderate skill in woodworking, the easiest items I can think of are Fine clubs and Decent javelins. My new PCs usually start off by trading up their minimal possessions, e.g., some clothing, some javelins, and clubs, for an improved ax, or a spear, or bow. I'll always trade for a cord or loop snare, which they trade for a couple of pieces of dried meat, or a javelin. Ropes, needed for a raft, can be had for about 3-4 javelins.
Once you get a good kill, the dried meat or even raw meat is good for a lot of items that you'll covet.
I strongly suggest that your new PC accomplish the missions and receive the free hand ax and fishing pole. The ax will be useful in trading up, while the pole will be vital in keeping food on the table.
Paw board traps, yes, they are good trade items. The problem is that they are labor intensive> Fell a tree, make boards, make traps. Early on, it's tough enough finding food, eh? Without specific tools, every step becomes more time-consuming, whereas a handful of javelins can usually be made while performing the rudimentary missions.
In my experience, the number one method to good, early trading is to kill a Njerp! Honestly, that's a single action that breaks the poverty logjam. The second best is the kill of a large animal.