So, the knots are a concern,. but not a huge one. i have done several different woods that are all knotty like that and it works itself out, kinda.
The small diameter of the stave allows the crown to take so much more of the tension strain than the rest of the stick, that as long as you don't just level over knots on the back and off to the sides of the crown and violate the grain, it is fine and just goes around them.
On small diameter wood like that, i just work around knots toward the tips where you are narrowing the bow, leaving the grain intact, and widening the limb slightly as you follow grain around the knots. Little side bumps here and there. This is perfect if they run diagonally from inside the branch to the open back, or from inside to exposed belly. Just leave a little extra wood width.
Knots and pins that extend straight across the belly, leaving a weak spot are a bigger problem, but they only exist on one side of the limb. If they make a shallow groove or knot I file them out and blend the groove into the rest of the limb. Leave the opposite (left/right) side (bow upright, looking at the belly) just like it is. So, the limbs stay the same net thickness, they just take a little rollercoaster dip in and back on one side of the belly. You will have a few of these, sort of alternating side to side.