Want to see a Magic Card Trick? The first magic card trick I ever learned as a child was the following:

Have 1 deck of cards where the pattern on the back is not vertically symmetric.
Organize all cards to be facing one direction.
Ask an individual to, &quot;pick a card, any card, memorize it and give it back to you&quot;.
Proceed to put it into the deck (in the wrong direction).
Shuffle vigorously, giving the illusion that you won't know where their card is.
Produce their card to their amazement.


This trick is obviously a little bit lack-luster in nature now-a-days, however it makes for a good challenge. Write a program, that when given no input, outputs a randomly shuffled deck of cards with one of the cards, chosen at random, reversed. However, when the input is a deck of cards with one card reversed, you must output the reversed card (in the correct order).

The Deck of Cards
A deck of cards is defined to be:
[2S,3S,4S,5S,6S,7S,8S,9S,TS,JS,QS,KS,AS,
 2D,3D,4D,5D,6D,7D,8D,9D,TD,JD,QD,KD,AD,
 2H,3H,4H,5H,6H,7H,8H,9H,TH,JH,QH,KH,AH,
 2C,3C,4C,5C,6C,7C,8C,9C,TC,JC,QC,KC,AC]

A card is defined as it's number, then the first letter of its suit. The reverse of a card is the exact opposite, the first letter of its suit followed by a number.
The Drawn Card
Example, if the card we randomly chose to reverse was the 4 of Clubs (4C), we'd end up with (without shuffling, obviously):
[2S,3S,4S,5S,6S,7S,8S,9S,TS,JS,QS,KS,AS,
 2D,3D,4D,5D,6D,7D,8D,9D,TD,JD,QD,KD,AD,
 2H,3H,4H,5H,6H,7H,8H,9H,TH,JH,QH,KH,AH,
 2C,3C,C4,5C,6C,7C,8C,9C,TC,JC,QC,KC,AC]

The Shuffling
Then, after shuffling:
[2H,2C,6S,4D,QH,6C,TD,8C,7H,5H,C4,3D,7S,7C,KC,QD,QC,JS,7D,6D,2S,5C,KD,3C,3S,2D,8H,KH,6H,AH,8S,JH,TS,AD,5D,9H,4H,JD,QS,4S,JC,3H,8D,TC,AS,TH,KS,AC,9C,9S,5S,9D]

This is a valid output given empty input.
The Deck Input
However, conversely, when our program receives the above output as input, it should output 4C. That is to say, for an input of:
[2H,2C,6S,4D,QH,6C,TD,8C,7H,5H,C4,3D,7S,7C,KC,QD,QC,JS,7D,6D,2S,5C,KD,3C,3S,2D,8H,KH,6H,AH,8S,JH,TS,AD,5D,9H,4H,JD,QS,4S,JC,3H,8D,TC,AS,TH,KS,AC,9C,9S,5S,9D]

You iterate through until you find the reversed card, and return it, reversed back to the normal state. So here we'd find C4, know that C isn't a number, and return it as 4C, which is correct.

Rules

You may not load the deck from any external sources.
An empty input should result in a randomly shuffled deck with 1 random card reversed.
A deck of cards with 1 card reversed as input should result in the reversed card.
Any other inputs can result in explosive llamas riding segways through a futuristic tube.

Or anything else, for that matter.


Both the chosen card and the shuffling order must be uniformly random.

I.E. all cards have equal chance of being selected to be reversed.
I.E. all combinations of cards have an equal chance of appearing.


You may use SHCD or shcd for the suits, but be consistent:

If you choose uppercase suits (SHCD) you must also use TJQKA.
If you choose lowercase suits (shcd) you must also use tjqka.


This is code-golf, winner is lowest bytes.
Retina, 61 60 59 bytes

G`[HCDS].
^$
23456789TJQK
/^2/&amp;L$`.
$&amp;H¶$&amp;D¶$&amp;C¶$&amp;S
@V`
O?`


Try it online! Edit: Saved 1 2 bytes thanks to @MartinEnder. Explanation:

G`[HCDS].


Delete all unreversed cards. This should leave one reversed card or no cards.

^$
23456789TJQK
/^2/&amp;L$`.
$&amp;H¶$&amp;D¶$&amp;C¶$&amp;S


If the input is (now) empty, create a pack of cards.

@V`


Randomly select one card and reverse it (unreverses the single reversed card).

O?`


Shuffle the card(s).