#1 - The party took place last night and you weren't there. You wanted to know if Jane was invited to the party. So you asked " was she invited to the party?".
#2 - The party is next week and you wonder ifJ ane is among the guests invited. So you ask "has Jane been invited?"
As Goodman points out, #1 and #2 are in the passive. Someone else did (or didn't) invite her. With #1, the party may or may not have already happened. With #2, the party has not yet happened.
#3, as it stands, is not grammatical. It may be an active sentence, but the person "she" invited is missing.