Hi Rosanna,
Our Themer’s Guide covers many of the basics for customizing templates – so it’s well worth reading if you haven’t already done so 🙂
1. How do I remove the header including title background, the event card and details?
I’m not 100% sure what you mean by event card but I suspect many of the things you wish to adjust can be found in the single-event.php template. To remove the meta details for instance you could simply remove the following piece of code from your own custom version of that template:
<?php do_action( 'tribe_events_single_event_before_the_meta' ) ?>
<?php echo tribe_events_single_event_meta() ?>
<?php do_action( 'tribe_events_single_event_after_the_meta' ) ?>
2. How do I remove the “upcoming Events” page including the background?
You can disable list view via the Events → Settings → Display admin screen (and just leave “month” activated, if that’s what you want).
Does that help/is that enough to get you started?