Well, I finally got an answer to my question, but I did have to call to get it because a direct answer wasn't given when I sent the email. But the guy was very helpful when we talked on the phone.
There is no place on the new version of this site that stores your free readings. I was told that if I get a free reading, I should cash it in right away.
However, I was also told that if I have a free reading, i.e., a tarot reading, when I go to the area for that specific type of reading (such as a tarot reading), it will show up marked free.
I was also told that some readings contain an expiration date.
Disappointing but good to know.
So, if anyone else reads this, I hope it is helpful.