Just want to be clear that Honeywell UI uses the wifi icon (4 stacked circle sectors) on the z-wave thermo to indicate z-wave connectivity, not 802.11. If it's got no such icon on the thermostat itself, then I'd guess that something failed during provisioning, so you ended up stuck with just a couple of parameters.
Sounds like you've got your hands full, either way. Thank god it's a fun hobby and not a job :) Good luck.