I do not have a definitive answer for you yet. If you haven't already looked it over, here are the pages with the official list of supported versions for ArcFM 10.2.1a and ArcFM Server 10.2.1:
It does appear that we support the Oracle version you mentioned, as 11g R2 (64-bit) is listed, and this would include all patches and updates.
In regards to your question about the AIX 7.1 TL3 SP4 O/S, we leave it up to Oracle to certify the environments on which their databases will run. Please refer to Oracle to find their official list of supported versions.