Not sure what yours is doing exactly, but it's not abnormal for the lenses to make some noise upon startup as whatever motors engage.
I had the 35mm f/1.4 and loved it, but eventually sold it and went with the much lighter and smaller Loxia 35mm f/2. There's only a minor tradeoff in sharpness, but the size reduction makes using 35mm as a walk-around lens much more feasible, especially for the type of stuff you're doing (and that I do). I actually did a youtube video comparing the two lenses https://www.youtube.com/watch?v=MB0oJa6cE9k
I've actually never used the 35mm f/2.8, and I'm curious, but I'm pretty much in love with the Loxia, despite the manual focus.
Right now, I think the "best" lens for FE mount is the 85mm GM lens, which is definitely the "great portrait lens" you're looking for. I can handle a beast of a lens at that focal length because it's not a walk-around lens that lives on the camera like a 35mm. The Sony Zeiss 50mm f/1.4 is a similar-quality lens to the 35mm, and also huge, but the 55mm f/1.8, as everyone agrees, is probably the best bang-for-buck and bang-for-size lens you can get for the system, and I'd highly recommend adding it to any kit.