If I am able to internal transfer into Ross Business School from LSA, will I be behind in requirements or work from the students that were in Ross initially? Or would I be on a different path?
You would be fine to graduate in 4 years if you internal transfer to Ross.
If you go to UM without a pre-admit to Ross be sure you have a back-up major in LSA that you could be happy studying. Only about half of the people who apply to Ross as an internal transfer will get in. https://michiganross.umich.edu/undergraduate/bba/admissions/UM-applicants