I love the show. It's well written, and beautifully shot.
Sorry I took so long to get back. I don't know what kind of projects you'll be working on, but the G85 does have audio levels. However, I would advise that you not record directly into camera (except to maybe get scratch audio) but get a good mic and a separate recorder. I use the Tascam DR 60D Mark 2. I'm sure there are some good recorders within your price range.
Take a peek at the Panasonic Lumix line of cameras. You can get a Panasonic GH2 for around $250. It can be hacked to increase the bit rate. If you want 4K, you can get the Panasonic G7, or the G85. Both can be had for under $1000. With the money you save on the camera, you can pick up a Panasonic 25mm 1.7. B&H has them for $147. It's micro four thirds format so you might want to consider a focal reducer to increase the performance in low light. If so, I might recommend a few vintage Canon, or Nikon primes and the Mitakon Lens Turbo with whatever mount you decide to go with.
4K might be nice for the big screen, and the other applications that have mentioned. Still, depending on how you plan to distribute, it's not necessary. Netflix and Amazon Prime demand deliver to be in $K, but if you're using YouTube or Vimeo it's probably not necessary. Upstream Color was shot on a Panasonic GH2, and it doesn't look bad at all.
Thanks for posting this. I like the way it looks. I figure the look can be softened (if I so desire) w/ older lenses. The colors look good.
Creative Cow is a great resource.