Next post in category

You should be able to just use the default get_next_post_link with $in_same_term set to true. Have you tried that?

Instead of your

<?php next_post_link( '<div class="nav-next">%link</div>', '%title <span class="meta-nav">' . _x( '&rarr;', 'Next post link', 'sixteen' ) . '</span>' ); ?>

try this

<?php next_post_link ( '%link &rarr;', '%title', true, '', 'category' ); ?>

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