replied in another topic as well, this basically remains the only one that did not work, so I just move the reply here and mark the other topic as resolved.
I still have images perfectly centered on my laptop (or any other PC) and aligned to left on mobile, in preview and on actual mobile device as well (see screenshot from Samsung Galaxy). I’m sure this is some silly thing I messed up. This is the code for one of these widgets, maybe this helps, it has all aligncenters one may ask for…:
<a href="https://klarakolonits.com/2016-2017/"><img class="aligncenter wp-image-3293" src="https://klarakolonits.com/wp-content/uploads/2016/07/2016-mozart-2-300x120.jpg" width="250" height="100" data-id="3081" /></a>
<p style="text-align: center;"><a href="https://klarakolonits.com/2016-2017/"><strong>MOZART | CONCERT ARIAS</strong></a></p>
<p style="text-align: center;"></p>
<p style="text-align: center;"><a href=" https://klarakolonits.com/2016-2017#jazz"><img class="aligncenter wp-image-3291" src="https://klarakolonits.com/wp-content/uploads/2016/07/2016-jazz-2-300x120.jpg" width="250" height="100" data-id="3081" /></a></p>
<p style="text-align: center;"><a href="https://klarakolonits.com/2016-2017#jazz"><strong>OPERA | JAZZ</strong></a></p>
<p style="text-align: center;"><a href="https://klarakolonits.com/2016-2017#katlan"><img class="aligncenter wp-image-3292" src="https://klarakolonits.com/wp-content/uploads/2016/07/2016-cosi-1-300x120.jpg" width="250" height="100" data-id="3081" /></a></p>
<p style="text-align: center;"><strong><a href="https://klarakolonits.com/2016-2017/">COSì FAN TUTTE | OperaLab</a></strong></p>
<p style="text-align: center;"><a href=" https://klarakolonits.com/2016-2017#strauss"><img class="aligncenter wp-image-3290" src="https://klarakolonits.com/wp-content/uploads/2016/07/2016-strauss-2-300x120.jpg" width="250" height="100" data-id="3081" /></a></p>
<p style="text-align: center;"><strong><a href="https://klarakolonits.com/2016-2017/">STRAUSS: VIER LETZTE LIEDER</a></strong></p>