'Would you like this candy or these desserts to follow the meal?'This is being used as an indicator for a singular item, and these is being used as an indicator for multiple items.See the related...
Very roughly....
A train is 'due' when it is about to arrive.
Money is 'due' when it is owing to someone.
In (almost) all other cases, 'do' is the verb for an action "Did you do your...