The only wrong construction is sentence #1.
"Went" is the past tense of "to go", and the past tense doesn't as a norm use an auxiliary verb in affirmative statements. And, in any case, the auxiliary of the past simple is "did":
"He went out a while ago."
"He didn't go out a while ago."
"Did he go out a while ago?"
You used "has" correctly in your second sentence: together with the past participle of a verb, "has" and "have" form the present perfect.
"He has gone out."
"Has he gone out yet?"
"He hasn't gone out today."