According to my knowledge, the ancient town of Laozhou (旧州古镇) does have stairs. The town is situated on a hill and has many levels due to its history and geological characteristics. Visitors can walk up or down narrow alleys called “streets” between the traditional houses and local shops, which may involve climbing some stairs.
Note: The answer also applies to both situations where you’re asking if there are stairs in Laozhou ancient town (“旧州古镇里有楼梯吗”) and whether Laozhou ancient town has stairs altogether (“旧州古镇有楼梯吗”).