Church records for St. Petri available on FamilySearch can be found at this link: https://www.familysearch.org/search/catalog/285158?availability=Family%20History%20Library
Christening records begin in 1681, marriage in 1757 and deaths in 1700.
This information from Archion forum:
Christening records available until 1876
Marriage records available until 1874; 1921-1944
Deaths available to 1874; 1900-1932; 1945-1947.