  We examine height-height correlations in the transient growth regime of the
2+1 Kardar-Parisi-Zhang (KPZ) universality class, with a particular focus on
the {\it spatial covariance} of the underlying two-point statistics,
higher-dimensional analog of the 1+1 KPZ Class Airy$_1$ process. Making
comparison to AFM kinetic roughening data in 2d organic thin films, we use our
universal 2+1 KPZ spatial covariance to extract key scaling parameters for this
experimental system. Additionally, we explore the i) height, ii) local
roughness, and iii) extreme value distributions characteristic of these
oligomer films, finding compelling agreement in all instances with our
numerical integration of the KPZ equation itself. Finally, investigating
nonequilibrium relaxation phenomena exhibited by 2+1 KPZ Class models, we have
unearthed a universal KPZ ageing kinetics. In experiments with ample data in
the time domain, our 2+1 KPZ Euler {\it temporal covariance} will allow a
quick, independent estimate of the central KPZ scaling parameter.
