Yes, they have very strict rules. When I was dating my husband, before we were married it was a very stressful time in my life. If a JW breaks the rules they will face some form of punishment, from reproof to being kicked out of the religion, which would lead to being shunned by everyone that is a member of that religion, including family members.
These are a few of those rules
A couple must have a chaperone, and never be by themselves. No touching, other than hand holding, they even frown on hugs. No sex before a couple is actually married, and they even have rules about what is allowed and not allowed after you are married, or at least it was when I was still a member.
This leads to some serious issues because quite a few of their young members get married just so they can have sex. Because of this, a couple doesn't get married because this is the person they want to be with for life but can find themselves not compatible. As a JW you are not allowed to remarry unless the other person has admitted to adultery.