Is barrett's esophagus considered a "precancer" condition?

Yes. Not all people who have barrett's esophagus develop cancer. But the risk of esophageal cancer is markedly increased. If one is diagnosed with barrett's esophagus they should be in a surveillance endoscopy program.
Yes. Yes it is and it should be followed closely by a gastroenterologist.
Barrett's. This is a change in the esophagus in response to longstanding reflux. It is a precancerous change which requires frequent surveillance EGDs to make sure cancer is not developing. If Barrett's is found, the abnormal areas can be ablated so that they do not progress to cancer.