The parameters of mod_dt_upcoming_event allows to set the number of events listed - which primarily is a matter of layout.
However, what is missing is a footer in the module that allows to link to "more events".
If my mod_dt_upcoming_event is listing 5 events, but I have, in fact 10 ... the module correctly lists the next 5, but doesn't lead the customer to the remaining options....
Shouldn't be too difficult to implement for cracks like you.