Could you please try to re-authorise your channel?
As currently according to logs I can see that some channel got disabled couple times since the beginning of the month, but unfortunately I am unable to see what caused it.
Secondly I wold advise you to check if all the SKUs on Etsy have SKUs assigned to it. If they do, please go to settings > channel integration > Etsy (edit channel details) >Start using SKUs.
Currently I cannot see any other reasons why this should occur. Please reach us if provided solution didnt work.