went or gone

You have assumed that 'I' is understood as the action of the second verb.  This is fine in spoken English, but I wouldn't use it in writing, especailly formal writing.

Doll

Considering "last night", I wouldn't use the present perfect tense and replace it with the past tense.

That's absolutely correct; we aren't specific as to when an action occured with the pres. perf.    In this case, I think the implication is that I have been good for some time now, and last night, I even went to bed early.