Each time starts and the same second shuts off

Okay, Ken, I am back to this problem.
First, thank you for your attention!
I was away for a while.
So, it looks like this:
I do not recall security light flashing. Remember steady tiny red light;
the key is original (though locksmith - he was not auto-tech) expressed his concern about "too worn out"
I have replaced the tumbler tuned to that key back then. That did not change anything at all! I was turning ignition with a screwdriver and after momentarily starting it dies, and the same by doing it with a key/new tumbler. I even put then a EFI -node on injector to verify it was really cut off injection pulses. So it was!
I also tried different combinations of those 3 wire to EM security little black module on the right (Since when I got onto the car somebody tried lots of things before, the three wires were cut ). From straight color-to-color connect and all imaginable (and not) things. No difference.

So, the BCM doesn't still recognize the key or little EM module is bad?
BCM is no good: I also noted that the mileage on the dash lighted as 000 000 when I saw this Saturn very first time and now I do not see anymore little red light, I think I remember seen tiny word "security".

Option two: PCM no good
now when I turn the key/tumbler to "on" all the dash lights blink irrationally but synchronously for about some 3 -4 or so seconds. Was not that way when I got to the car first.
Although it does same thing after they stabilize, which - if you crank - starts and dies off immediately.

Option 3 both are no good. But how that is possible?

I also received information that there are only 6 possible ways of security responses from little black plastic on ignition housing to BCM. They would equivalent - in ohms - to precision resistors from 1.27 ohm to 6-something ( as far as I remember, have it written down) serially plugged into yellow/light green wire in the central BCM connector (only one this color). The story goes, it's only one that works for that-programmed BCM, you just have to try one by one. But it is a hassle to find a precision (1/10 of an ohm, I suppose) resistors, 6 of them and what if computers no good!

If I am to replace BCM, it has to be towed to other side of Hawaii island to Toyota dealer to program to original key that we have and if that won't work.

What is your opinion?
Also,
Were you the only one that saw my question, or just no one else knows those Saturn security -things?

Aloha,
Kirk

Forgot to mention. I put a working SnapOn (older) scanner on OBDII jack and screen don't light, no communication. No visible wires broken there or strange. Tried to see what can I do about replacing computers.