There's something weird about that wedding band. It has symbols on it, perhaps of his religion. A few years back he was caught not wearing it. Turns out he had it sent to be cleaned professionally.
I've never been married so I don't know how often one sends a ring wedding out to be cleaned.
As to zero's tear, that photo is reminiscent to when his grandma died. Phaque.
Can't remember the details but that's not a wedding band. He was wearing it long before he got married. It's got some Muslim significance.