it looks like you're including full "web-page" embed codes, rather than just the image links.
This is a forum, not a wordpress blog or something.
Let's see if I can help out.
This is what you posted:
[img]http://<a data-flickr-embed="true" href="https://www.flickr.com/photos/133284106@N07/19859004195/in/album-72157655711722120/" title="DSC01673"><img src="https://farm4.staticflickr.com/3758/19859004195_d97f66a0ba_q.jpg" width="150" height="150" alt="DSC01673"></a><script async src="//embedr.flickr.com/assets/client-code.js" charset="utf-8"></script>[/img]
This is what you need:
and it would look like this:
Now, how you'd get that link out of Flickr... I'm not entirely sure. I don't use the site.
From what I can see, you click the "share" icon and then copy the BBCode link from the list for your pictures. According to Flickr's help there should be a BBCode link available, those are meant for forums like this.