I just saw this, and I pulled out my unused 3" Happ mounting kit. Unfortunately, I have a vomiting toddler at home, so I can't get to the hardware store to get the exact thread size. But here is what I can gather:
Screw length: 5.5 cm or 2 3/16"
Thread diameter: 3mm or .25"
The rest of the kit has four 3/8" diameter washers, four 1/2" washers and four hex nuts with "teeth" on one side (which are too big for the screws in question, so they must be for the 4 outer screws on the plate.
Hope that helps. Reply or PM me if you have any more questions I could answer