hello jolie,
I'm sorry i don't know anything about pain in the esophagus or any possible connection to not eating (often i'm just uninformed though so you might want to research it maybe?)

If no food sounds good to you, maybe try drinking something? Or possibly taking a multivitamin just to get some nutrition in you without necessarily filling you up or having you eat anything too fattening?

just try to do your best...
tc