Thanks for the affirmation. I've found several other places around where the S4 had some compat issues with certain routers. As I said, it works fine for me at the office, but at home, it repeatedly hangs and re-acquires a lease every once in a while.
I understand that other people have not had this issue, the point was to discover which routers they might have trouble with. This one is an older 802.11n/g/b D-Link RangeMax from several years ago.
I've also read online that the S4 supports the newer AC standard as well. I might get a new router that supports it...