You should definitely wear a tallis. There’s nothing wrong with unmarried boys wearing a tallis (there’salready at least one thread about the subject, which I’m too lazy to link,) By all means, wear a tallis, and be zoche to all the blessings that come from it.
As an aside, it would be best if you can meet an Orthodox rabbi who can guide you. Also better if you can find an Orthodox shul to daven in.