Time Capsule reset not working

Here is the challenge:

Airport Utility cannot see the base station from any computer, phone nor iPad. I suspect wireless connectivity is not working either (hard to tell because I have several base stations creating my network). To make matters more confusing, I have a computer plugged into the TC. That computer cannot see the TC in Airport Utility, but uses the TC for a wired internet connection that continues to work. I have powered the TC off and back on again, done a soft and a hard reset all to no avail. All LEDs remain green, but I still cannot backup, still cannot use the drive and still cannot see the TC in Airport Utility. What should I do?