As someone who is taking an electrical theory course in college, your total resistances and total currents are definitely correct. Furthermore, your final statement is correct (given that your lightbulb currents are correct).
I'm not completely sure if your current in the lightbulbs are correct because I'm pretty "Brain-ed" out from the semester and electrical theory isn't my best subject. I'd double check with some friends on those two statements.
I think the trouble is that I'm having a hard time following your logic. Overall, it appears you do have logical reasoning. Hope I helped a bit!
