You have a couple problems in those pictures, lets start with the top segments of display 2 locked on.
Now that you have replaced the missing 7180, lets step slightly back. Use a logic probe to test the inputs and outputs of the input buffers for those segments. Looks like a, b and f segments which come through U9 and U10. These should be pulsing and NOT stuck high or low. If they are stuck hi or lo on the input, you have a ribbon cable or CPU board issue. If the input is pulsing but the output is not, you have a bad buffer chip.
Similar test for the display 2 segments that never turn on c and e. Those input buffers are on U11 and U12
For the dead digit and the always on digit in display 1 and 2, we know the strobe signals are making it through the input gates since digit 5 has a problem on display 1 and digit 4 has a problem on display 2 (if the signal was not making it through, both displays would have a problem on the same digit). The problem is probably in the 6118 at U13 and U17. Are either of these socketed?