The following item appeared in today's edition of the New York Post:Are Tommy Lee and Mayte engaged? The wild rocker — embroiled in a custody case with his ex, Pamela Anderson — is currently on tour with Prince's ex-wife. They've been performing in wild outfits and funky hats designed by Ivy Supersonic. In their downtime, they e-mailed pals to say they are engaged. But Lee's rep, Beth Katz, denied it, although she said "they are wonderfully in love, living together and have a wonderful relationship. They are working on Mayte's new album and will perform in New York next Tuesday at the World." Meanwhile, Lee is fuming over the way Pam criticized him Tuesday on Larry King Live [where Anderson stated about her kids, "They've never had a relationship with their father since they were born. They've always been afraid of their father, and their father has had no contact, really, with them"], an appearance he sees as "a clear attempt to garner attention for her new column set to appear in Jane magazine," he wrote to PAGE SIX. "I am extremely concerned that she is using our children and our long-ended past relationship to garner attention to her public career. I love my children and, for that reason alone, I stand by my prior statements … that I refuse to drag them into a public battle that should be, and is being, sorted out privately through the courts." [end] Meanwhile, Pam, 35, admitted during the above-mentioned TV appearance that things between her and KID ROCK have hit a rough patch. "I could say right now we're in the trenches," Pam said. "We're just working on things. ... We love each other very much but it's a difficult life, a difficult life. And I want what's best for my kids. And he has a son." "I need to resolve a lot of issues ... I think, before I can really move on and have another serious commitment," said Anderson.