I'm just guessing here, but since you are using a very large image, and the coordinates go way outside the size of a mobile screen, it won't work, and besides, in order to have an image map working on a regular pc or mac, you need to mouse over the bit that holds the link. Since you haven't made any actual links, just using the title tags, it may be the reason for not working. Also, on the mobile devices you have touch screens, so a regular link, like the one I suggested, will work. As said, this is only my half-qualified guessing. I have asked the CC staffers about it but not had any replies yet.
This site was made before we were able to create components through the app:
Component sharing for RFF, RBB, RSD and SD: https://eikweb.com/sharing/
My work in progress right now:
Components for the same as above + HTML Editor: https://mock-up.coffeecup.com