As to the first of your questions ... I'd say that Yes, there's a distinction, but there's also broad overlap.
Handloading may involving nothing being *re*-loaded at all -- the brass (the only part that's directly recycled in conventional reloading) for a handloader may be factory fresh, virginal, optimistic, etc. If someone says "I handload" I think of slow, painstaking, accuracy-oriented craftsmanship. "Hobby" may be an accurate word, but seems too mild to encompass what "handloading" to me evokes.
Also, "handloading" makes me think of single-stage presses, and long winters in a cabin with nothing but Sears, Roebuck catalogs, and a pot-bellied stove, if we were lucky. And gruel.
"Reloading" has a different connotation (even if it *is* handloading), and it describes the reason I am interested in the [hand/re]loading deal -- making decent, even excellent, ammunition, at some cost savings over factory ammo and for puttering / hobby value. To me, it implies the ability to "crank out" (rather than "finely craft") decent rounds
timothy