Update. Fixed ;-)
I suspect that the power issue was just dirt on the half press contacts and/or the power sw under the advance lever. I removed the advance lever assembly and the speed dial as per the guides and cleaned the contacts. I also cleaned the power switch contacts. Not easy because they are so small. I used some stiff paper soaked in contact cleaner, holding the contacts closed and moving the paper back and forth. After this using a small probe to push the half press contact down the lcd came alive,,, full press and the shutter fired (I had it set to bulb when I removed the shutter speed dial so that was all I could test at the time).
Due to it being such a quick clean and it looking good I had a general clean up, little lube in one or two spots and reassembled to test further. I didn't take any photos because there was nothing out of the ordinary to see.
Once in a state where it could be advanced and then fired over and over and I could adjust the speeds.
All the speeds from "T", "B",, and slow speeds up to "60" fired fine, seem correct and they all displayed correctly in the lcd display.
Then instead of "125" it showed "80" in the display and remained at 80 all the way up to "2000" and "A".
The last time I owned an F3 (an HP) was in the early 90's. So bare with me.
I'd had the back off (as you need it off or open to get the advance mech. plate back easily where the counter reset pin is). By the way, for anyone doing this for first time I always place a piece of an old business card or an old cut plastic card over the shutter and tape it there while working with the back open or off, trust me,,, your finger will ruin the shutter if you don't do this!!! ;-(.
Then I remembered the F3 defaults to 1/80 until frame 1 for some reason (remembered after a cup tea and readying the manual). So I replaced the back, advance to frame one and bingo,,, all other speeds good. Even the illumination in the LCD works ;-)
I have a working F3 !!!! Very happy.
I might now removed the left side and just give the ASA dial and flash shoe area a good clean as the ASA dial is very stiff and might have dirt it it.
Just need to source an exposure memory button now (in the mech, shutter release) and maybe a better focusing screen as someone has marked it.
So probably just a bit of light oxidisation or debris on the electrical contacts.
And as per the CC flow chart,,, the issue was continuity from TP3 in the base to the two power switches (main and half press).
Hope this helps anyone with same issue.
Cheers all and thank you..