Hi Marco,
Yes, there certainly should be continuity between the '138 pin 11 and the SIO/2 pin 35. This signal should normally be high, and it should drop down whenever the CPU wants to send or receive data to or from the SIO/2.
So the easy solution would be to re-touch the solder joints on those the pins, and also remove and re-seat the chips, checking in case a leg is bent underneath.
The more interesting solution would be to hook your scope up to the '138 pin 11, and check that you see activity on that line shortly after reset. This will be more than just sending out the initial boot message, but will also happen when the initialisation process writes to the registers on the SIO/2 and does other stuff. If you don't see activity there then there may also be something further down the line that's causing other issues. But, either way, you'll need to fix the continuity issue.
And to clarify the answer to your earlier question, no, the Tx line will not go low during a reset. The only thing which is keeping Tx high is the SIO/2, and that will only wiggle it low when it is sending out data.
Hope that helps, but let us know how you get on.
Cheers
Spencer