Ok, now I'm confused?
Is the snake in the pic on the very first post the snake you have? The last pics posted, shows a snake that doesn't appear to have any blue on it at all? I really couldn't see the dots on the top of the head before, but yeah....if they're there, it would seem to be a Western ribbon snake (T.proximus ssp.)....I'm not even going to try and figure out what subspecies until I know exactly which pic is of the actual snake. Isn't snake identification FUN!
As far as the enclosure (I'm sorry, don't have any pics of mine) one thing you REALLY need is someplace for your snake to hide. From what I can see, you've only got a water bowl and a branch. You should have something for it to hide in or under. Even something as simple as a paper towel roll will do....just as long as it's something it can get into or under and doesn't have any chance of getting crushed or otherwise hurt (don't put in rocks for it to hide under....it'll push the bedding out from underneth it and could get crushed!).
---Roy