You can not retire your Dodge Grand Caravan if you place it under Non-Op. You also won't be able to retire it if you don't pay the registration fees which will be owed soon. It is not required that the registration process be completed; only that the fees due be paid. Obviously, since the vehicle won't pass a smog check its registration can not be renewed; but you will still be able to pay the fees due. Note... after you pay the registration fees you only have 120 days to apply for the CAP vehicle retirement program. Expired registration past 120 days are not eligible for retirement.
Typically applications are processed within 4 to 6 weeks.
Follow the link below for more information on
How to Retire Your Vehicle in California.