Hi Mike,
Please let me be one of the first to say "Welcome home!" to Disney Vacation Club. You have so many years of Disney vacations to enjoy ahead of you. And how exciting to be finalizing your membership so soon!
I spoke with a cast member at Disney Vacation Club who let me know that when you receive your membership card could vary based on your individual circumstances. Members can now access a digital membership card by logging into the
Disney Vacation Club website; however, I am not sure when yours will be accessible. The best way to find out when you will receive your membership card is to ask you Disney Vacation Club Vacation Guide, so I suggest contacting your Vacation Guide with this question. If you are unsure of how to get in contact with your vacation guide, you can contact 1-800-500-3990, and a cast member there can help you with this question.
As to applying and old ticket to the purchase of a new Annual Pass, this should be possible assuming that the old ticket is still active. I do believe that this generally needs to be done in person at Guest Relations at Walt Disney World. If you have questions about your specific case regarding tickets, you can call Disney ticketing at 407-566-4985.
I hope that these thoughts are helpful for you, Mike. I hope that you have a magical first trip as Disney Vacation Club members!