Divorce decree names

does the name on the divorce decree have to be your legal name?
for a female, does the middle name have to be correct?
for a male, does the jr. sr. II, III have to be included?

Yes, your legal name must be included in the divorce decree, middle names should be correct, and any suffix should also be included.

so for example if the suffix was left off what does that mean about
the divorce?

The divorce is still valid, you may have the judgment amended to include the suffix.