Does my company need an adverse weather policy?
No. It is up to each individual employer to come up with their own inclement weather policy if they so choose. There are not any labor laws that require employers to have such a policy in place.
Do I have the right to make my employees come to work during adverse weather conditions?
Yes. Since an adverse weather policy is not required an employer can simply inform employees that they will be expected to be at work as long as the business is open regardless of weather condition.
How an employer treats their employees when inclement weather strikes falls under the concept of employment at will. This means that unless the treatment an employee receives conflicts with a specific law and/or employment contract protecting them, an employer may treat their employees as they see fit. An employer can hire and discharge employees at will for any reason or no reason at all