Hi. A module is assigned in pages based on the menu. So if you have assigned in the main page then the item pages will inherit the Itemid. One quick solution is to handle this in your template doing something like:
<?php if(JRequest::getCmd('option') == 'com_k2' && JRequest::getCmd('view') == 'latest' ): ?>
<jdoc:include type="modules" name="YOUR_MODULE_POSITION"/>
<?php endif; ?>
This will only load the "YOUR_MODULE_POSITION" position when you are under K2 Latest view.