This is a really weird fault...
If you put the 6890 and the 74LS783 from your Dragon 32 in your Dragon 64, does it show the same problem?
Let's do a quick summary.
- All chips appear to be behaving correctly as well as the connections between them. (I'd try the connection between pin 32 of the 6809 and pin 15 of the 783, just in case).
- 74LS02 has no output on pin 4. Does it mean it's always low? It should change as the R/W signal changes.
The pin 4 issue could mean that the 74LS02, the 6809 or the 783 have faults, or the connections between them don't work, as pin 4 should output the R/W signal NOR'ed with the 783 S2 signal, and I'd expect at least the R/W signal to change frequently.
Maybe it's time to check the clock pins and to check the voltages at the 9-pin connector between the boards.
See the
Power Regulator Board to Main Board Ribbon section here:
http://dragon32.info/info/psu.html
WARNING! Don't swap the power boards as you could destroy probably your 32 by injecting -12v instead of -5v!
Also if you have a couple of power bricks, try powering your 64 with both of them and see if there's any difference.