I'm only learning myself so I'm not sure, but I think all sentences are correct, since "/" are both the present/past prenominal forms of "", and I don't think these collide in any way with the / copula at the end of the sentence.
1. This _is_ a person who _used to be_ serious.
2. This _was_ a serious person.
3. This _was_ a person who _used to be_ serious (but that changed at some point).