Yes it sounds like teething, My 10mth old daughter acts like a totally different baby when she's teething, she becomes clingy, irritable, fussy with food, gets eczema, nappy rash and the runs.... you name it, she gets it!
sounds like it could be reflux, although there's prob many other reasons why as well, such as teething which although is rare to happen so early on, it can.
have you visited the doctor? what was the outcome?