Hi friend, thanks for your questions. The hyperlink in that section that refers back to Attributes should have the information you need regarding how Attributes affect those actions. As for unique stats for weapons: you are correct. The ways to modify damage will come from Shaping and other effects as desired. Of course, if that's not something you're a fan of, by all means house-rule how you like it.
Viewing post in The Walled and the Wood comments
Thanks for catching this haha. What we have here is a failure on my part to revise rulebooks correctly. The description should, and will soon, read: Physique and Dexterity modify checks made to Do Harm using Fisticuffs/Bladework and Marksmanship, respectively. Otherwise, yes damage/speed can be modified by the appropriate Perk or certain Shaping.