What Causes The Food To Be Stuck At The Bottom Of Throat?

Hi, I have a problem, often after eating I realise that I have food stuck in my nose, but right at the bottom at the back of the throat. It happens all the time, sometimes it fades away, and sometimes I sneeze it out, and sometimes if I sniff hard enough I end up swallowing it. Its horrible and uncomfortable. Ive even tried sniffing water, it doesnt work. Is it possible I have a malformation at the back of my throat that is catching food? Its started happening at the same time that I seem to start having bad breath occasionally. What can I do?