Just to add another voice to those saying that the chain ring looks absolutely fine.
Wish my drivetrain looked that clean most of the time!
It is possible to go through a chain in 1500 miles in winter, but typically I get around 2500 miles on chains. Cassettes last me 4-5 chains and chainrings, well, a long, long time. Certainly 12500-15000 miles on my audax bike's middle ring and the outer and inner rings are still as they were when I built that bike and it has done over 25000miles so far.