yes Jan's father's first name is Jan. I have the baptism CD for Zuid Holland and they do show up. There is a short hand you have to learn to read.
ou = Ouddorp
Often the marriage date and location will be written where the parents are. This time it looks like there might be a birth date but can't make out the exact date 2 (can't make out the month) 1736
So Jan Janse Luijme born 2nd day of ??? 1736 at Ouddorp married Klazina? van Beek 6 Jul 1760 at Ouddorp
They baptized Jan on 15 Feb 1767 at Ouddorp
Two older sisters baptized
Pieternella 29 Mar 1761 Ouddorp
Grietje 22 Apr 1764 Ouddorp
That's all I can make out, I checked for the name Luime in the range of 1736-1755 but could not find the name.