As I know:

One of the most important chemical mediators are prostaglandins that in vivo effect on different cell receptors and have different effects on the body. Prostaglandins are Twenty-carbon lipid molecules and structurally similar to cholesterol. Prostaglandins have different types, such as F2, E2 alpha, PGI2, and so on.

Phospholipase enzyme that converts phospholipids of cell membranes into arachidonic acid. The arachidonic acid within the cyclooxygenase enzyme or Cox (both type 1 and 2) can be converted to prostaglandins.
PGF2alfa has function in uterus contraction and bronchoconstriction, so I think both uterus and lung cells produce it.

I have no special information about production of PGF2alfa in men.