Operate... Yes. Usually if you are not a business that is open to the public, operating a home based business will not require a zoning variance... but I would check with a local lawyer that knows zoning in your town..
Shooting Content... No. While I do not think the LVPD is on a witch hunt to bust producers, since sex for money in LV is illegal, it can mean that your model releases may not be legally valid and could be challenged in court by an angry PW. The contract would be void ab initio.