Two factors here...
The radiotherapy usually causes loss of body hair where the beam goes through the skin. That's a band around the body from the navel down to the base of the penis. This typically starts about 4 weeks after RT starts. About 8 weeks after the RT finishes, it will probably start regrowing, but apparently it doesn't always regrow.
Hormone therapy will cause loss of body hair acquired at puberty from all over the body. This starts around 4 months on HT. Pubes and beard take a long time (years) to be significantly affected, but will grow slower. On the other hand, male pattern baldness may reverse on hormone therapy and hair regrow there. Hair will regrow after HT finishes when testosterone returns, but that can take a long time depending which HT drugs were used and for how long.
He should have a Testosterone test to find out what his level is. Hot flushes are often the last side effect to go, and might not be directly related to testosterone levels.
If he was on Tamoxifen, that can also cause hair loss (including hair on the head), but usually only at higher doses than used with prostate cancer hormone therapy.