OA/FA refers to the temperature ratings of the transformer. In this case these are ambient cooled liquid insulation (OA) and fan-cooled (FA). The fan cooled rating indicates what is acceptable when the fans are cooling the transformer, assuming that the temperature never increases beyond the 'rise' rating, which is the maximum temperature above ambient that the transformer can operate at any time. The FA rating is only applicable if the fans are running. Typically, the fans have controls which turn them on at a certain temerature set point, so it may or may not be 'automatic', depending on these controls and their setpoints.
The NGR ratings indicate that the resistor can handle 10A for 10 seconds safely (which means that the ground protection should be set to trip significantly before 10 seconds).
Your short circuit study must use the NGR in your transformer model, which limits the maximum GF current, if it is present. Multiple transformers may be modeled, solid or resistance grounded, but the maximum GF current through a NGR will not exceed its rating just because another solidly grounded transformer is present, even if paralleled.
Any NGR, by definition, should be connected between the transformer neutral and the ground point. The location of the NGR is typically at the transformer. Some switchgear systems have high-resistance neutral grounding, which is often located in the switchboard.