Sorry you broke your watch, it's an unfortunate accident. You are going to have to swallow your pride, accept that your month old watch has to go to the service centre for repair and throw yourself on the mercy of Omega hoping that they will feel sorry for you and do the repairs free of charge, if you are really, really, really, lucky they might.
Just be grateful that it was only a watch, my friend took his 24 hour old BMW for a drive the day after collecting it, he parked up in a nice spot overlooking the River Thames in Oxfordshire, with the car silent my friend sat for a few moment talking to his wife and considering his lot in life and feeling very pleased with himself. As he took his foot off the brake the car burst back into life and because his foot was slightly depressing the the accelerator the car shot forward, through the chain link fence over the edge of the bank and down headfirst into the water.
After his car had been dragged out by a combination of the fire service, BMW rescue and a breakdown truck the car was taken to the dealers for a diagnosis of the damage. My friend had to pay just under £8,000 to put the car right, BMW offered him nothing as it was a self inflicted error, he forgot that he was in gear, didn't apply the parking brake and the cars auto cut-out to conserve fuel turned the engine off as though he was at the traffic lights, removing his foot off the brake restarted the engine and as his foot was resting on the go faster peddle the car assumed that the driver wanted to go so it accelerated.
You dropped your watch, it broke, it happens. Next time you take your watch off make sure it's a soft surface beneath you, hope you get it sorted okay.