As a golf course superintendent, turf is my life. Never use manure that has not been completely broken down throuh composting as a turf fertilizer. Take the rabbit manure and use it start a compost pile and add to it equal parts of carbon based materials like leaves and nitrogenous waste like grass clippings as well as houshold food waste exceting meat products.
Turn the pile at least once a week and you'll have a beautiful pile of "black gold" in a month or two. As for the lawn, get the area totally vegetation free either through rototilling or at least spraying with roundup and then rake it out to prepare the seed bed and remove any stones and debris. If your soil is acidic then add some granular lime at the rate of 50 lbs. per 1000 square feet and then broadcast a commercial starter fertilizer(high middle number on the bag ie:5-10-5, 16-36-16 etc. the middle number is phosphorous which helps root development)and then you are ready to seed. Be generous with the seed and be sure to keep it moist untill it had germinated. You may have to lightly water it several times a day to achieve this and then dont let it wilt once it has germinated. When it reaches 4" start mowing it. Good luck and if you want more info. shoot me an e mail!!
I just realized you are in AZ so your soil is probably not acidic but check with your local exstention agent or better yet have a soil test dont prior to starting. I test most of the golf course here every year!