Contractual Obligation

You play a team game with your friends, rushing across the bridge to sign your initials on as many contracts as possible.

Sweeping wind
Captain's wheel
Olympian of all trades
Rainbow heaven
Engaged column
Drama cinema
Indestructible wall
Fire in the hole
Figure out
Imperilled lives
Musical sense
Perfect casino
Serpent of the hill

Note: You might find the following resources useful:
https://www.larryco.com/uploaded/pdf/pdfup_764.pdf
https://www.funbridge.com/counting-bridge

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Hints

We are stuck on computing something.

Color of the drawing: red means the declarer is vulnerable and green means the declarer is not vulnerable; these colors conventionally represent vulnerabilities.
A number of clubs, diamonds, hearts or spades: what the contract is; e.g. if there are six diamonds in a drawing, then the contract is six diamonds.
A number of plusses, minuses or an equal sign next to the direction: the result of the contract; e.g. if there is one plus, then the contract made with an overtrick; if there are two minuses, then the contract went two down; if there is an equal sign, the contract just made.
The number of contract papers stuck together: if there is one contract paper, the contract is undoubled; if there are two, the contract is doubled; if there are four, the contract is redoubled.
Direction N/S/E/W on the contract: who the declarer is. Be careful here though, this is explained in the second link, but for some clarity. North-South at one table and East-West at the other table form a team. If North-South scores +X points at one table, East-West at the same table scores -X points and vice-versa. These examples might help: If NS at one table scores +140 and NS at the other table scores -500 (which means EW scores +500), the score difference is 140+500=640, since NS at one table and EW at the other are teammates. If NS at one table scores +140 and NS at the other table scores +300, then the score difference is 300-140=160. (NS on one table and EW on the other table are teammates).
To check your work on these points, to NS, the images are in order of most negative score to most positive score.

Now how do I extract?

Look at the first letters of the phrases.

These letters are rubbish! How do I order?

Can you think of a common ordering of 13 items that's in-theme with this puzzle? How might those items match with the phrases?