Nineteen Eighty-Five A

Doc: Look what Biff did! He changed the courthouse to a casino hotel!
Marty: Well Doc, what should we do?
Doc: Marty, I figure while we're here, let's try to make a little cash. I'll head to the stud poker tables and see how I do. Card games are just visual illusions after all.
Marty: Sure, Doc. Why don't you go for a spin at the poker table, and I'll see if I can find our guy.
Changes
2/24/2015, 11:32pm: Hints have been added. Check below!
2/19/2015, 9:56pm: Cocky Konundrum - We have made some grammatical corrections to steps 6, 11, 14, 23, and 24 in order to help clarify our meaning therein.
2/19/2015, 3:00pm: Typecasting's image has been corrected to clue the appropriate answer.
2/19/2015, 1:00pm: Cocky Konundrum is now back and better than ever. To those teams who may have seen it before the initial takedown, be aware that we have made changes to numbers 6, 8, 16, 26.
Cocky Konundrum - Cards Received
Hot Tub Time Machine - Cards Received
Hints?
Cocky Konundrum
- This is a "follow instructions" puzzle.
- The final answer is a five-letter answer.
Hot Tub Time Machine
- Solve the grid.
- It should be noted that there are a couple of clues with the words MONTANA and RICE.
Place Your Bets
- In the top half, a certain letter comes up a lot. In the bottom half, a certain letter doesn't come up a lot.
- The final answer is a three-syllable answer.
Ringers
- Each of the entries contains a synonym of a famous entry.
- This puzzle takes place in the month of June.
Typecasting
- Going down wrong paths in this puzzle might not be "super effective."
- This puzzle can be solved bit by bit.
Vexing Math
- This math puzzle is specifically a geometry puzzle.
- The square root function is specifically the "upper left square."
Meta
- There are a total of 36 cards here: 18 red and 18 black.
- "Spin" is the operative word.
Upon Solving the Meta...
Time Traveler Captured: The Doctor
Doc: It's a shame I had to stop a fellow Doctor, but he was most certainly going to mess up our timeline.
Marty: Yeah, and now that we have his signature MULTICOLOURED SCARF, he won't get us.
Doc: Before he vanished, I heard him say he didn't want to go...
Marty: Doc, you're thinking of the wrong guy.
Doc: Yep. You are certainly correct. Well, let's see what 2015 has in store!