Hi Debbie,
You'll want to have just one name in the "last name" field, not two as you have with some of Anders' descendants. In the cases where it looks like you have a Swedish name (Jonasson, for example) and an Americanized version of the same (Johnson), you should put only the last name at birth in the "last name" field (Jonasson, in that example). Johnson would then be put in the "Current last name" field, or depending on the circumstances, the "Other last names" field.
Swedish names can be a bit tricky because children usually aren't listed with a last name until they are adults. In general you want to pick the earliest last name that you find to go in the "last name" field, and any later last name should be listed as a "current" or "other" last name.