Not sure why you quoted the bit you did as it isn't relevant to your issue.
Firstly you seem to have drawn your edges on top of the closed group.
The edges within the group have tiny stay ends at he corners of the circles, remove them and the faces will form. The second one with the triangle shows that it would have been better if you had imported at a larger size, I skipped it in the gif but you can joint the corner to the next vertex in the circle and delete the extra triangle.








