First some jobs you seem to only have in their original Danish:
"Handelsman" = Merchant "Radman" (probably Raadmand) = Councillor (ie, sitting on a council) "Skolmastare" = Schoolmaster
"His father was named Lard Andersen Krog and His father was Anders Krog..... these two were married to women from Denmark, One woman was Nils Fransson,a "Skolmastare"died in Ystad 1702"
One problem with this: Nils Fransson is a man´s name. I also doubt that women were schoolmasters back then.
"Could these two Krog ancestors be immigrants from Denmark????? someone told me that Krogh and Krog were Danish".
They dont need to be immigrants. The region you speak of was Danish until 1658, so they probably moved east while it was still Danish. Under Swedish rule from 1658, the region was subjected to a violent campaign of swedification complete with massacres of danish partisans. I doubt he moved after/during that.