Please try to calm down and think positive thoughts. I know that sounds crazy but it really will help! It could be the anxiety and fear (justified as they are) that are making you feel sick. Time and patience are your best friends right now. After the first week or so, you will start feeling much better.
I agree that you should speak with your dentist. Although the excess saliva is a typical reaction to having something new in your mouth, you really shouldn't be experiencing much, if any, bleeding. I also agree that you need to speak with your employer. It is unrealistic to think that you don't need at least a few days to adjust before being able to work at full speed.
Try small sips of liquids that are slippery -- when I was at your stage, I absolutely loved milkshakes and smoothies that were blended on the thin side. They are easier to swallow and maneuver around your denture than water.
Try really small spoonfuls (like just the tip of the spoon) of foods that are soft and slippery -- when I was at your stage, I loved apple sauce and chocolate pudding.
Good luck (and let us know how you are doing).