It does let me create the new edges. I realize now that after deleting a bad edge, I must attach them from a specific side of the poly. Thats OK, it works.
Anyhow, I've been doing the Hobbitguy head and its taught me a great deal. I'm currently struggling with making nice edgeloops and cleaning up any 3 and 5 sided polys.
Also, I havent considered yet, merging verts as an option for cleanup. I'll get on that next
This site just answered about 5 big questions I've had. Check it out!