I bet you anything dev. is a github person. Look https://github.com/mattheu/MinQueue Show/Hide helper tool on github but not on .org ?? So may be open “issue” there? And definitely download and install latest version – why not?
And may be you should swear you have added correct handles and also tell if /wp-content/uploads/minqueue-cache folder is created or not. Might help.
I thought you had PHP 5.2.x issue because dev said it wont work. Plugin does not check for PHP version though (I dont think). I tried outdated PHP and got white screen so he is right ?? Or may be output depends on which PHP 5.2.x version? It wont work with any but you will know if relevant.
Oops, now I look at error log it seems another plugin protested against old PHP, “parse error”. Might be the white screen I saw. Well as said this plugin require 5.3.x and up. I am not sure how you will notice PHP 5.2.x. Nothing happening at all might be output.