Derek,
Personally I would stop that for the duration of RT (I presume 6 or 7 weeks). Though in reality I doubt it would make any difference either way.
If you are eating a well balanced diet, I don't think supplements are worth taking. Your body will make what it needs from whatever you put in so you will probably have a normal level of anti oxidant whether you take pomegranate or not.
If you have a genuine vitamin deficiency (at this time of year vitD is probably low) then take supplements.
Jules you're right about bone problems with HT. I would argue that it is the lack of testosterone causing cells not to make bones, rather than a lack of the raw ingredients for bones (calcium, vit D). To paraphrase an old saying, "you can lead a bone to calcium, but you can't make it drink it".
Of course being sure there is enough calcium, vit D etc, will give the best chance of preserving bone health if your cells are in the mood to make bones.
Remember I don't even have an O level in biology, so take everything I say with a pinch of salt (other minerals are available)