Your hair loss is probably hereditary, like male pattern baldness, whereas Alopecia Areata is more of an auto immune disease, which anyone can suffer from. I doubt the treatment for Alopecia would work for you and probably isn't all that successful with people who have the condition, as it's difficult to treat.
The only thing which will restore your hair are products containing Minoxidil. However, you would have to use them for life, as once you stop, the new hair would fall out.
Other than that you can have a hair transplant. The poular method these days, seems to be the Strip Method, where a strip of scalp is cut from the back of the head and the follicles are harvested from the strip, in their original genetic form, therefore, preventing damage and making it possible to harvest more hairs from one follicle, before replanting into the new area.