Throughout the day I feel completely fine but then I start to cough and I feel like throwing up.
Hi CV, It's impossible for us to diagnose you over the Internet. There are many things that could cause a cough and/or nausea. I can tell you, though, that sometimes coughing very hard over and over can trigger the gag reflex, which might be what you are experiencing.
I would strongly encourage you to contact your physician, who can examine you and better determine what may be going on in your body.
To your health,