WordPress core jquery version file not loaded?

OK, problem was in WP jquery noConflict. Basically it must work if you replace first $ with jQuery, but in this case needed to replace second $ too. So, answer is to change second $ by jQuery.

<textarea class="emojitextarea"></textarea>
<script type="text/javascript">
    jQuery(document).ready(function() {
        jQuery(".emojitextarea").emojioneArea({
        pickerPosition: "bottom"
        });
    });
</script>