Couple of points.
Myrrh is as powerful antiseptic and anti-inflammatory as well as an analgesic. The aloe may have been agarwood, which was expensive and mostly used for rituals, or aloe vera, which has been used as a treament for wounds but is primarily noted for its moisturising and soothing properties when applied to the skin. Both suitable treatments for somebody who has been whipped, stabbed and hung out naked in the Judaean sun for a few hours.
Roman officials in backwater provinces were far from punctilious about regulations when faced with a large enough bag of sestertii.
A wound which produces blood and water is likely ot be a self-draining wound to the lower part of the lung. Eminently treatable by both Jewish and Egyptian medics of the time.