I cannot believe that no one has answered this for you in all this time. Here is the correct answer:
1st- NO on Lazarus (he may have been an early disciple, BUT WAS NOT one of the "Twelve Aposltes"), and was only mentioned in one case (John 11:5), where Jesus had a high regard and "cared for" (loved) the entire family of Lazarus.
NEXT: the Disciple Whom “Jesus Loved” is JOHN, the brother of James (one of the "four fisherman"), and one of the 1st four disciples called by Jesus (one of the "Twelve Aposltes"). The evidence in scripture is more favorable for this being true.
I've just finished a HubPages series of articles on the Apostles, where the "beloved disciple" is featured in more detail:
Hope that helps, with blessings... Rev.Ted