I've seen $30 weller ones glow and melt wires after being plugged in too long, can't imagine what a HF would do besides get the fire department called.
your work network is probably set up in a way that "router behind router" situations don't work, probably to block you from doing this on purpose. A unsecured wireless access point into a internal, wired only network is a HUGE security hole.
Their form fails me every time. I was born in England (only one in my family) and their form only has "United Kingdom" as an option. When they call up for the background check they always say it isn't a specific enough answer.
luls ensue as they have to come manually edit the form and get all pissy.