I have several with that coloring ;)
As for the redness (is it the small red spot near his body and his bottom fin?), I can tell you that a lot of bettas develop a red "wash" on their fins. It's just their genetics and nothing to worry about.
Just so you know, external parasites such as ick and velvet will show up as white spots or a yellow dusting respectively. Internal parasites can be diagnosed by a number of symptoms including loss of weight, listlessness, white stringy feces, etc. There are also some external parasites such as flukes that you will actually be able to see hanging off your fish...yuck! I'm very glad that your fish does not appear to have any of those!
Hehe, you seem to be like me. I'm always checking my fish to make sure they are all "normal". Everyone just thinks I'm neurotic, but I'd rather be safe than sorry! It's good that you care so much about your fish :)