How are you getting on with this? It looks to me like your edges are uneven because you dropped too many anchor points with uneven curves. However, these sort of shapes are quite easy. Here's a few pointers:
In the screenshot below, I dropped three anchor points (the tiny squares along the path), with number 3 having a curve.
- CTRL/CMD+CLICK line 'a' to move the apex of the curve (you'll notice the direction line of the curve and it's handle (the dots at the end of the curve lines) moving accordingly).
- CTRL/CMD+CLICK handle 'b' to adjust the strength of the curve (notice that you can adjust the length of the direction line on that side of the anchor point, but that the handles remain locked together opposite the anchor point).
- ALT/OPT+CLICK anchor point 3 to remove the leading curve direction line, which will give you a straight line to your next anchor point.
Generally, use as few anchor points as possible. In the example you posted, you only need anchor points at each corner and all your shapes are possible using only the pen tool modifiers I've suggested.