Hi!
The first thing to do here is read through our Themer’s Guide, which covers the basics for safely overriding and customizing our templates.
Let’s look at the month view customization first. In this case, you’re probably going to want to modify and customize month/single-event.php – so set that up following the steps in our Themer’s Guide and then change this code:
<div id="tribe-events-event-<?php echo $event_id ?>" class="<?php tribe_events_event_classes() ?>" data-tribejson='<?php echo tribe_events_template_data( $post ); ?>'>
<h3 class="tribe-events-month-event-title entry-title summary"><a href="<?php tribe_event_link( $post ); ?>" class="url"><?php the_title() ?></a></h3>
</div><!-- #tribe-events-event-# -->
To:
<div id="tribe-events-event-<?php echo $event_id ?>" class="<?php tribe_events_event_classes() ?>" data-tribejson='<?php echo tribe_events_template_data( $post ); ?>'>
<h3 class="tribe-events-month-event-title entry-title summary"><a href="<?php tribe_event_link( $post ); ?>" class="url"><?php the_title() ?></a></h3>
<?php echo tribe_get_start_date( null, false, get_option( 'time_format' ) ) ?>
</div><!-- #tribe-events-event-# -->
Does that help with the first part of this?