The Kuatron module being a funny shade of green looks like its beyond repair
Hmmm, I've seen green tinted modules before somewhere with red digits, I’am sure those type of displays are sealed like the Frontier and Fairchild modules so it may be OK, have you tried changing the quartz it might be a simple fix also put two batteries in it and use a multi meter set to milliamps touch the test leads on the batteries to make the circuit if there is a reading on the meter there’s a good chance the watch is working.
I can’t think of anything else to try off hand or if you like pop it in a jiffy bag and I’ll have a squint at it for you...