I note from your photos the K&N filter was fitted taken directly from the box yet you mention later it can be oiled.
Question 1: Is the filter pre-oil when taken directly from the box?
Question 2: How many kilometres can an oiled filter be used before it needs to be washed and reoiled?
1. Yes, it is preoiled.
2. Follow the factory maintenance guidelines (every 10k miles). For reference, here is the full maintenance interval list: http://hondapcx.org/viewtopic.php?f=15&t=323