is my three month old TEETHING?

What are the symptoms of teething? (Thanks google).

Irritability. As the sharp little tooth rises closer to the surface your baby's gums may become increasingly more sore and painful, leading to your baby being very fussy.

Irritability? CHECK.

Drooling. From three to four months of age you may see your baby start drooling more often than normal. Teething often stimulates drooling.

Drooling? CHECK.

Chin Rash. If your baby is a big drooler, the constant contact with saliva can cause the skin around the chin and mouth to become irritated.

Chin rash? CHECK.

Biting & gnawing. A baby that is teething will gnaw and gum down on anything she or he can get their mouth around.

Biting & gnawing? CHECK.

Also, coughing (CHECK!), diarrhea (CHECK!), cold like symptoms (CHECK!), and best of all....not sleeping well (CHECK!).