aren't all those other things reflected in the rent you are asking the other person to pay?
are you asking a tax question here? or simply trying to figure out how much to ask the other person to pay.
Given you are renting at below FMV, none of the items you list relate to your tax return, other than property taxes and interest on the mortgage - you can deduct 100% of all of that (up to any limitations imposed on Schedule A) on your tax return (assuming you itemize). You don't have to reduce any of it because you are sharing costs with someone else.
re-read page 17-18 of Pub 527. There is a LOT of discussion of dividing expenses. But the division only occurs when you have personal days and rental days. When you are renting below FMV, they are all personal days and therefore there is no need to divide expenses.
