I'm on 360, when DE released, it came with round 2 runners and (on SoE and DE) even the slowest round 1 zombie could and would speed hit you 3 times if you were in arms reach. You still could do long games, but usually there would be a few games that ended in round 1-5 due to the hyperslapping zombies. They fixed that.
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Round 1 BK on SoE involves zombie cloning. If they haven't patched it by now, I'm accepting it for the beautiful thing that it is.
Solo Method (note that solo 360 can still transmogrify keepers into reg zombs by running far enough away, but not in mp zombies. It's fine if you can't as it is only 2 keepers): You almost must get x2 at start or as 1 of the 2 drops of round 1, otherwise, you may not get enough points (SoE has 2 drop per round limit, excluding margwa drops).
Start, grab 100 QR points, open door -500, chang's for +500, fix window +40 (640), gather zombies by QR.
Use beast: zap all zombies, qr, break open door, free s-key, zap crane and SU.
Post beast, run to SU, get +100 from machine (740). Wait for 12ish zombies, zap them, open Nero's.
Post beast, grab Pen, run up Nero's to transmogrify keepers. Drop down fire escape and run quickly to Waterfront door, press against door and jump up and down. That should make most zombies pour from the closest places to Waterfront. Stab the 2 furthest away zombies (1000 points now). Open waterfront. (Stab a third zombie if SU on next gen can't give points).
Gather 24ish zombies, zap in Waterfront (quickly as time is limited) as you head down the Waterfront hall. If you are fast enough hit the Rift door (otherwise skip this), then grapple up to the box, then run (no jump) straight over to the farthest part of Waterfront and run down and beast open the Anvil (boxing gym).
Then,
A. (If x2 at start) Post beast, go to start, pool up zombies, hit x2, carefully avoid nuke drop (if applicable). You should get 6000+ points. A second x2 drop should get you to 9,000-10,000 points. Save a zombie.
Or B. (If no x2 at start) Post beast, run up to Nero's, carefully stab and pray that the gaming gods give x2 and no Nuke. Stab carefully. Save a zombie.
If you have 4250 or more, open Waterfront door, get the BK.
If no x2 comes, you may get 3000+. You need to come up with 4250 to buy the Waterfront door and the BK. You can do the Nero ritual for 500 points, plus any keepers shot (10 points each hit). If you get enough to get the waterfront door open, you can do the Anvil ritual and kill the Margwa which should then get you the BK points.
Happy gaming!