Luis Ontiveros, I do not know the specific wording of the CAR form or your first contract. However in general when you are assigning a contract you are not selling the real estate you are selling the contract.
If you double close and take ownership of the property; then the CAR contract or other purchase and sale contract, would be appropriate for your agreement with your second buyer.
If you are not planning on closing on the property yourself, and just want your end buyer to take your place in the contract, then assigning your original contract is appropriate. In this situation you are as singing (or selling) your original contract. The CAR form probably would not be appropriate.
In either case you should make it clear in your agreement with the second buyer that you are not responsible if the original seller doesn't close.
I am not an attorney so do not consider this legal advice for your specific situation. It is just my laypersons understanding of contract law.