I have contacted Anton but he seems to be passing it off as a problem with my site.
I downloaded the current version of Profile Composer mod as I had already seen a problem upgrading the test site. I made sure the test site was an exact clone of the live site. I upgraded the module and it worked on the test site, sliding blocks around worked. After I ran the upgrade script to 7.1.1 without any errors reported, following the instruction to the letter, the Profile Composer module stopped allowing one to reposition the blocks, you grab a block on the page, drag it to a new position and when releasing the mouse button the block slides down to the bottom of the page. Now, it can not be anything to do with my site design blocks or css classes because that exact same module worked on the exact same site before I upgraded to 7.1.1. It has to be the changes in 7.1.1. I intend to upgrade the site to 7.1.4 but want to make sure where any problems occur instead of running to the end and then seeing problems and not knowing when they occur.
Now, the Profile Composer module works with jquery to allow repositioning the blocks. The question is to understand what changed with 7.1.1 that could cause the module to stop working. Maybe others have had similar issues?
The upgrade instructions told me to:
Delete the following files manually via FTP or SSH:
inc/js/jquery_ajax.js plugins/htmlpurifier/standalone/HTMLPurifier/Lexer/PEARSax3.php plugins/jquery/jquery.dimensions.js
Which I did, everything else was the upgrade script. One of the important things about Profile Composer is allowing to rearrange the blocks on the page.