To answer one of your questions, up to around 1900 people in the Swedish countryside mostly used patronymc names rather than surnames. I.e., a Peter Johansson's sons were named Petersson (from Peter's son), and his daughters were named Petersdotter (Peter's daughter). When country people moved to more urban areas in the late 1800s, their patronymics turned into surnames (i.e., were passed on unchanged to the next generation), and the women often changed their patronymic into the corresponding male surname, so Petersdotter became the less provincial Petersson. And the double 's' in the names were skipped in the US. Also, Swedes don't have middle names, but may have two (or more) given names, and the name one is known by can be the 2nd or 3rd just as well as the 1st. So it's perfectly normal, in fact to be expected, that Johan Peter's daughter is called Peterson in the US.
The Swedish names page on this site has general information about the use of patronymics and surnames in Sweden.
BTW, I've repeatedly read on this forum that arrival years in the censuses are often off and may differ from one census to another. So I think you should see them as an estimate rather than a precise fact.