Cool snake- very pretty. Reminds me of my albino kenyan sand boa, but a thousand times bigger! I want a retic someday, but I can keep alot of other snakes in the place one retic would take up, plus I'm not really built to handle a 15 ft snake.
Sounds like a respiritory infection, if I had to guess. Make darn sure that the temps and humidity in the cage are correct for a burmese. Remember that many reptile health issues come from improper care- maybe the person you got him from didnt adjust the temps as needed as winter came on. Make sure he gets plenty of alone time- in other words- no stress.
The bright side is that many health problems cause by improper set-ups can be corrected by fixing the problem- but see what the vet recomends.
You might find it easier to clean up after him with a more basic substrate, as big snakes tend to make big messy messes.
14 snakes- better watch out, or you'll just keep collecting more and end up with 60-something like me

. I dont have any that big though.
Just read your profile- 27 and a mechanic... I'm 30, and a mechanic. Pretty cool.