Thanks to Ike for the lead to the SE/30 repair page. The screen was the "Irregular Vertical Rasters" as shown on the the web site. After seeing the damage on the mother board I am amazed that it was able to do anything at all !!

I will try some type of cleaner to dissolve some of the corrosion that is under and inside the rom chip mount. The rom chip itself needs a good cleaning too.