That is the conclusion I came to also, but I have now checked my wiring several times and everything is fine.
Yes, one of mine does. It stays on for ~15 seconds though, which is more than enough.
Yes, that is what I did, because the regulator requires at least 7 volts to work properly. I attached the 5v directly to the 5v pin.
I also just bypassed the regulator completely and redid the clock circuit.
Still no results.
I did just make the circuit on a breadboard and it works perfectly though!