  Tetragonal Mn-based Heusler compounds feature rich exchange interactions and
exotic topological magnetic textures, such as antiskyrmions, complimented by
the chiral-type Hall effects. This makes the material class interesting for
device applications. We report the relation of the magnetic exchange
interactions to the thickness and Mn concentration of Mn$_{x}$PtSn films, grown
by magnetron sputtering. The competition of the magnetic exchange interactions
determines the finite temperature magnetic texture and thereby the chiral-type
Hall effects in external magnetic fields. We investigate the magnetic and
transport properties as a function of magnetic field and temperature. We focus
on the anomalous and chiral-type Hall effects and the behavior of the
dc-magnetization, in relation to chiral spin textures. We further determine the
stable crystal phase for a relative Mn concentration between 1.5 and 1.85 in
the $I\overline{4}2d$ structure. We observe a spin-reorientation transition in
all compounds studied, which is due to the competition of exchange interactions
on different Mn sublattices. We discuss our results in terms of exchange
interactions and compare them with theoretical atomistic spin calculations.
