If the paint's that dull, first of all I'd try to somehow check the paint thickness then find a way to at least do some serious paint buffing on it. Wetsanding might do a world of good, but that's a serious project that also involves some risk. Any chance you can get hold of a rotary buffer with some fairly heavy cut polish? You'd have to do some buffing with finer polish to finish it out for what I have in mind, but if the paint is as dull as it looks in the pics, then smoothing it out some would help as long as the paint can take it. After that, topping it with something that make it shine will be the easy part.