Mariah Carey [1] and James Packer couldn't keep their hands off each other during their first public appearance as an engaged couple [2] at the G'Day USA event in LA on Thursday. The couple looked positively radiant as they showcased their love on the red carpet with a little PDA. While the singer kept her 35-carat engagement ring [3] in plain sight, her husband-to-be couldn't help but pull her in close for a kiss. See more photos from their sweet outing, and then check out some of Mariah's most glamorous moments yet [4].