Date & Time lives in the core of any event plugin and this is not different with Eventer. Date of the event works for 2 important things, one is to decide if your event is upcoming or has passed and other point is to display date to your website visitors.
Eventer has several options for you to decide the format of the date & time visibility. All the date and time format can be managed from your WP Dashboard => Eventer => Settings

Time Format: First option here is for the time format which is divided in 3 fields. First is for the event start time, after this there is separator field and in the end is the field for the event end time. This is how your event’s start and end time will be displayed in the events listing.
Date Format: Some event listings style show event date in plain format and this option is to control that. All the events listing style comes with a separate event date visibility as well.
Date Format Big: Sometimes you can have events which start and end on 2 different dates. This options is to handle those dates formatting.
Single Event Date Format: This option specifically control the event date formatting on the event details page.
Time Format For Datepicker: You can choose the time selector format for the datepicker. This is applied on the datepickers on the add/edit screen of the event post in the WP Dashboard.
A detailed description about the formatting of the date can be found here: http://php.net/manual/en/function.date.php