I have confessed these thoughts on numerous occasions. Without exception, the priest hearing my confession was kind and gentle and tried to come up with ways to help me overcome my suicidal thoughts and feelings.
Unless the priest has just been confirmed, you won’t be telling the priest he hasn’t heard before; they’ve heard it all.
As for the youth ministry thing, I don’t know about that. I wasn’t involved with anything like that so I never confessed such a thing. I suspect the seal of the confessional is binding in that case, but if the priest says perhaps you shouldn’t continue, then maybe you shouldn’t, both as a point of prudence and because that is the advice he gives you. I do not know what the priest’s advice would be in that case.
Go to confession and do as the priest suggests. If he says continue with the youth ministry, then do that. If he says drop the youth ministry, then do that. If you drop it, you don’t have to tell anybody anything other than that that is your preference.