Yay! More exciting things learned!
After being helped by Helen through a few glitches, I have happily and successfully completed my project. For the first one, I added another stroke around the outside the same color as the frame fill (using layer styles). It took away some pointiness, but I like it anyway. I can also see where I need to work on lining up my brackets more precisely before closing the frame path with the pen tool.
I love Karina's idea of adding pattern to the frames! There are so many varieties of looks you could make. Here is my pattern-filled frame: