Вот временные формы глаголов в предложениях, а также исправления:

The store is closed on Saturday.
(Present Simple - форма "is closed" используется для описания состояния)

She will ride tomorrow on the swing.
(Future Simple - "will ride" правильно)

We carried yesterday.
(Past Simple - "carried" правильно; но само предложение можно улучшить: "We carried [something] yesterday.")

They will be carrying the flag next week.
(Future Continuous - "will be carrying" правильно)

They transported the patients to the hospital.
(Past Simple - "transported" правильно)

They will transport the car on Saturday.
(Future Simple - "will transport" правильно)

They delivered food to the homeless shelter.
(Past Simple - "delivered" правильно)

We will be delivering flowers on Thursday.
(Future Continuous - ошибка в форме: "deliver" нужно заменить на "delivering")

They are loading the ship with cargo.
(Present Continuous - "are loading" правильно)

They should be loaded in the port.
(Correct: "should be loaded" правильно)

Итоговые исправления:

Предложение 8: "We will be delivering flowers on Thursday."