Saturday - Wake up at 3am, start driving to BGT at 04:30am, >>>>>
I'd be a sombie all day. LOL We live 3 hours from BG and we usually don't get out of the house till 6:30 or 7 to get to BG depending on whether they are open at 9,9:30, or 10 and depending on when the park closes. It will be about a 3 hour drive from Jacksonville, too.
<<<<<<<Arrive BGT at 8am, visit BGT, eat lunch at your car, sandwiches from a cooler, go back into BGT until about 3pm. Drive to the Disney >>>>>>>
BG is not a park where you can ride the rides, see the animals, and see the shows by 3. I advise staying till closing. There is just to much to see and do.
As for eating in the car? Never! LOL Since we don't have to pay admission, we always opt for the top floor of the Colonial House Restaurant for a long relaxing sit down lunch. They have a family style meal available and that is what we always get. You can get chicken or fish with 2 or 3 styles of potatoes, rolls, cranberries, vegetables etc. With discount it is still less than $50 for the 4 of us(adults) and I think they have children's price, too.
The park probably closes at 7 or 8 during November except for Thanksgiving weekend, so I would probably drive to Orlando after the park closes. Disney Allstars is a good place to stay. Being on property will make it easy to get to the Disney parks.
You will love Sea World, especially after not being there for years. As for Disney parks, do you have a season pass for there, too? I suggest MK for a full day on Monday. Then AK for at least a half day. One of the waterparks would be good for a half day, too.