I feel you man. I love the image of the BMCC; but it's a pain to use--mostly for ergonomic reasons.
I know you said above that you want to go the 4K route; and that resolution can come in handy every once in a while. But here's my advice anyway: sell you gear (keep that Zeiss lens!), and use the money to buy a used Canon C100 Mk1 and a 17-55 f2.8 zoom.
I agree Michael above that for run and gun filmmaking you will want a true video camera. The A7 cameras and the GH4 all have amazing features, but they lack the ergonomics and functionality of dedicated video cameras. I would seriously take internal ND filters any day over 4K. Plus I think the C100 creates a more cinematic image than either of those other cameras--unless you're shooting the A7 in s-log mode, which is a real pain in the butt (I used to own an A7s). Those are my 2 cents!
Anything by Romain Gavras is amazing.
It's a Sony F5.
Man, that's a big question. But great stuff to look into! I'm by no means an expert, but I did go to film school, and I have a big appreciation for old films. Here are some recommendations to start with--just a drop in the bucket though!
Silent films. You probably think they're lame, but many of them are extraordinary. Also, because at that time the "rules" of filmmaking and continuity hadn't been established, you can get some interesting ideas that you won't see often today.
Check out anything by Buster Keaton, especially The General and Sherlock Jr.
F.W. Murnau was a master filmmaker. He's most known for Nosferatu and Sunrise, which is one of my favorites. And it's hard to find, but The Crowd is one of my favorite films of all time (by King Vidor). And then of course The Passion of Joan of Arc and Man with a Movie Camera. Also, Broken Blossoms.
As you enter the early sound era, your classics are going to be Gone With the Wind, M by Fritz Lang, Bringing Up Baby, Mr. Smith Goes to Washington, and Stagecoach, but also check out some of the gangster films of the early 30's. Scarface and G-Men are probably the essential picks.
Moving into the 40's you have a ton to look forward to. My favorites are Raw Deal, Double Indemnity, The Maltese Falcon, Citizen Kane, The Third Man, Bicycle Thieves, Casablanca, Notorious, The Grapes of Wrath, Rome Open City, Laura, The Ox Bow Incident, and Mildred Pierce.
You could spend a year working through the 50's. So much awesome stuff! Seven Samurai, Vertigo, Ordet, The Searchers, Touch of Evil, Night of the Hunter, On the Waterfront, The 400 Blows, Sunset Blvd., Rear Window, Rio Bravo, The Gunfighter, The Bridge on the River Kwai, Pather Panchali, Wild Strawberries, 12 Angry Men, The Asphalt Jungle, High Noon, Rebel Without a Cause.
Not all of those are black and white, but they're all pretty old at least. Some other really great black and white films include Breathless by Godard, Psycho, To Kill a Mockingbird, Rashomon, Manhattan, Kind Hearts and Coronets, Sabotage, 8 1/2, and The Man Who Shot Liberty Valance.
Hope that helps!
For my portfolio, I like Squarespace. Really simple, nice designs. A lot of Squarespace websites look pretty similar, but that doesn't bother me for my purposes.
I think you have a really GREAT kit listed there. It should give you lots to work with for a long time!
Only note: DO NOT BUY A KNOCK-OFF lens adapter, ESPECIALLY if it's supposed to act as a Speedbooster. I've tried to go the cheap route with lens adapters before, and even for the "dumb" ones with no electronics or glass elements, you get what you pay for. Stick with Metabones. It will be a pain in the butt to return an adapter you don't like and buy one you do.