1342 is the caliber (movement) number, and here is one link on the movement. https://calibercorner.com/omega-caliber-1342/
It also explains how to set time/date.
The case and style numbers are typically stamped on the inside of the back cover.
It’s going to be a difficult one. But perhaps someone with an omega certification (parts account) can help you.
Alternatively - the bracelet looks the same as the Meyol 396.0900. It wouldn’t look identical but you can find links and they might be able to be used to extend.