Both of the aberrations you're seeing are normal for the 35L, yes. The green edge of the light blur discs is longitudinal chromatic aberration (LoCA, aka bokeh fringing) - pretty much all fast primes have it, your 85L will too on specular highlights (it's magenta or green, depending on whether the OOF highlight is in front or in back of the focal plane).
The onion skin occurs in some lens designs, usually mild in typical lens designs, more noticeable and even stopped down in the 70-300 DO lens. Many times, people don't notice it because the OOF point light sources are overexposed. First shot below is an example from my 35L @ f/1.4 (on a 5DII), a 100% crop from the center of the image. Focus was on my daughter, she's off center and ~3 feet in front of the tree, and exposure was correct for her face in the fairly dim room, meaning the Xmas tree lights in the background are mostly blown like the one on the left, but the one on the right was dimmer because it was partially obscured by branches, and you can clearly see the onion skin pattern.
It's more prominent with smaller light sources when the focus distance is close and the light sources are also close, but still OOF. Second shot is another example 100% crop, where the OOF lights were further away (3rd shot shows a wider framing of the same shot for reference).