I did the classic design thing for hooks its called TLAR (That Looks About Right)...
Of course it may not really be right. Size is pretty small, I made the hooks long so they wouldn't tend to dump the wrap off if they tilt. Also they get wider to the end so the wrap doesn't want to slide off if under tension. I wondered about making the 'angle' on the hooks a little steeper but didn't get around to sketching it that way.
The inner diameter of the "groove" as shown is about 2.5mm so a 3mm cord should (I hope) jam in the bottom of the groove, right at the base of the stem and hold nice and tight and its only going to be pulling about an eighth of an inch off centre so tilt should be pretty small.... Again won't know until its made, might need a tighter radius in the bottom to jam the smaller cords. and it won't take much over a .25" (5.5-6mm cord)....
The weight calc is an advantage of using a CAD system. It just has to know the density of the material and it can spit out the weight.
Strength is less simple... As usual working strength should be about 1/3 of failure strength. So about 300-500 lbs based on my 1000-1500 lb failure estimate.... If it was made from 7075-T6 then the failure strengths would be 1300-2000lb and working strengths closer to 400-650lbs...
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