You typically get a 3-hour parking pass when you have an ADR at a resort restaurant. Beyond that, you *may* be towed.
If you are staying off-site and want to go to a park after your breakfast, park in the closest park lot to the resort where you are dining. If you are going to Chef Mickey's at the CR, park in the main MK lot (TTC), paying to park, and then take the monorail to CR, and then use the CR buses or monorail to your park of choice for the day. If you are staying on-site, the same applies, but you won't have to pay to park.