Retiredcaps, got some photos and some good news.
I connected the battery and was having a look at the meter (without the case at this stage), nothing really happen but I left it powered on for a while. My thought was there are few electrolitycs there, they may need voltage applied to rebuild their insulation layer (the meter was unused since sometime in the 90's, in 2009 I briefly powered it but since it didn't show anything I put it back in the box).
After few hours I started to see very faint digits on LCD. Now, about 3 days later LCD display is very readable, certainly improved a lot and it is usable. Not as intesive as it was originally but maybe the intesity will come back to original state... Not sure if its the effect of LCD aging or not being used for years but I hope it will keep on improving.
Since I got display working I could do some tests and DC voltage, DC current and resistance (including continuity) work very well. Actually I could only test DC volts and it is very accurate but I'm confident current and resistance are ok.
AC voltage and current show over-range on any range including 1000V or 10A. Looks like AC-DC rectifier/converter is faulty, I will start with desoldering 4 or 5 small electros around that circiut. There is also one poliester cap with funny stuff on its surface, it will be replaced as well. After X-mas I'll have a chance to look under magnifying glass and with soldering iron around.
I'm not sure about quality of the photos as I'm in a bright sunny environment and cannot find a place dark enough to see camera or laptop screen very well... Hope you can see the photos all right.