Sorry to hear that you are having issues, but probably better now than in a time of need.
Well, I can tell you that from personal experience having a single defective communication bus port can bring all three powerwalls down. BTDT.
The switch on side side of the Powerwall is more of a controller on/off switch than a physical disconnect power switch, so there are lots of ways that things can go astray. If the controller doesn't read the switch nothing is going to happen. If the controller can't tell the gateway, my experience would suggest that nothing is going to happen.
I have one Powerwall at the moment that won't obey (listen/respond) to the switch. It is on, but flicking the switch doesn't get it to turn off. I think that it is no coincidence that the same Powerwall has a bad communications bus port.
What you describe of having #2 and #3 off, and being unable to start #1, may be a lack of communication with the gateway (bad port(s), or cable, or wiring, or a failure to be adopted by the gateway during the installation, and also a defective controller), but it may also be that #1 never powered up and so it's controller is off. If it doesn't get 12v on the communications bus from the Gateway, it won't start, no matter what you do with the breakers or the switch. The lack of 12V on the bus is normally only a problem for off grid Powerwalls that have been depleted and need to turn on to accept a charge. In a new install, however, there are ways in which the Powerwall might function as you describe due to installation issues or Powerwall issues.
First things first. Have you ever seen #1 powered up? If so, can you power up #1 when #2 and #3 are on?
Have you spoken with Tesla energy support to see if they can see #1? (You might want to get the serial number before calling them, so all of you are on the same page about which Powerwall is behaving differently.) What did they say?
If you have spoken with them, did they ask you to reset the Gateway?
Can you run #2 and #3 without #1? Do you know how the communication bus is wired? I.e. is it
Gateway ->#1 ->#2 ->#3? (Are you sure? E.g Mine are all in a row Gateway, #1, #2, #3, but under the hood so to speak, wired
Gateway ->#1 ->#3 ->#2, which is not what you would guess looking at the conduit(!).)
All the best,
BG