The PCG-TR3A had Windows XP Home Edition installed on it. The three other PCG-TR3APx had Windowx XP Professional Edition on them. The number designation between the three simply indicate the configurations that the systems came in.
In terms of hardware configurations, this is what each came with.
PCG-TR3A - 1GHz, 512MB, 40GB HDD, DVD/CDRW
PCG-TR3AP1 - 1GHz, 512MB, 40GB HDD, DVD/CDRW
PCG-TR3AP2 - 1GHz, 1GB, 40GB HDD, DVD/CDRW
PCG-TR3AP3 - 1GHz, 1GB, 40GB HDD, DVDRW/CDRW