One side of the cake rises higher than another It doesn’t happen always but at times one side of my cake rises higher than the other side creating a lop sided cake, it is not a dome, but more a problem of uneven rising. I oil the pan, place parchment paper and oil and flour the parchment paper itself. Do you think uneven oiling of the pan could be causing this?
It's probably not due to uneven oiling of the pan. 

Assuming you haven't managed to stir your batter so that the baking powder (or other leavening) got distributed primarily on one side of the cake, which sounds pretty impossible, the most likely source of asymmetry would be the oven. Are you sometimes cooking these cakes too close to one of the walls of your oven - I mean off-center in the oven? 

Or maybe there is an uneven temperature pattern in there. Not sure how to remedy a situation like that, except for trial and error and noting the positioning when the cakes on occasion do come out even.