No, FastImage is a library for fast 2d drawing and you don't appear to be using it.
I don't see any reason why you couldn't distribute BlitzUI with your source, but if you're in any doubt, you could always drop Chris Fuller an email.
His email address is in his profile, and the domain seems valid: http://www.blitzmax.com/Account/showuser.php?id=956 ( I haven't quoted his email address directly because I don't want to get him picked up for any spam. )
I don't see any reason why you couldn't distribute BlitzUI with your source, but if you're in any doubt, you could always drop Chris Fuller an email.
His email address is in his profile, and the domain seems valid: http://www.blitzmax.com/Account/showuser.php?id=956 ( I haven't quoted his email address directly because I don't want to get him picked up for any spam. )