Just adding a few things after searching some of my databases.
Swedish records have no Lauritz born 1863-1865 born in Sweden and emigrating, with a father named Carl and mother Johanna.
There are 3 Lauritzes born in 1864 but they were born in Denmark, and emigrated from Sweden to the US or to Denmark.
Lauritz is more of a Danish name than Swedish at least at that point in time. The Swedish name would be Lars, Laurentius, Laurents or even Laurits.
Where did you find the information about his parents name? And his emigration year?