Not sure about #1. There might be a law preventing claiming it but I bet it's more flexible than that. Same tax year, arguably you were fixing it up for renting.
#2 When you fill out the appropriate tax form, you will probably include the date you started renting it. You'll put all rent income and all rent expenses, including depreciation, prorated for the matching time period. There's a more than decent chance you'll show a loss if you're using up almost all the rent before taking depreciation into account.
Do you pay taxes and insurance via escrow? That will likely also be prorated for the first year.