@Sebastian-Roth After moving the files and creating the link, it all seems to be working correctly now. I have updated the kernels using the web interface, and it successfully updated and is using them. My test computer now successfully boots to ipxe.
I wish I could tell you what I did during the installation process that might have broken the link, but since this was my first time setting up a DHCP server and my first time installing FOG from scratch, it could be any number of things.
I appreciate the assistance here.