I would say Peter Lundström is a rather common name, so be cautious. When I want to trace back a person (with little info) I first follow him forward in time because newer records often are more informative. E.g. in the household record from Ålem (above) there are no birth parish mentioned.

I also hope you tracked your first mentioned ancestor until he emigrated. The information about the other persons are rather useless if you got that one wrong.