Theres no decent non-root ways to remove things like that AFAIK. If it also has a notification in the pull-down, you can long-press that, tap "app info" then uncheck the "show notifications" box. If not, youre at the mercy of what your carrier thinks your phone should look like
I too have an icon appearing in the Status Bar that I'm not sure what it represents. It comes and goes, always appears on the far left of the status bar and has no pattern (at least that I can see) as to when it appears. It looks like a white filled in sideways "house" drawing with a black "+" sign in the middle.