Thank you Aish
As per your suggestion I published the unchanged site to Business Catalyst as bilyzcom.businesscatalyst.com and it uploaded without a fault. Then I made an alteration to the Gallery page where I changed one image in the slider and a small typo on the Design page. Then published again but this time I selected 'options' and clicked on 'modified files only' Result: The site uploaded perfectly and the altered pages showed the recent changes.
So can we conclude that the source of the problem isn't in the Muse software?.
However, If this problem only occurs with the external server since the update; it also stalls when uploading all files and with modified files so could it point to the recent Muse 2014 update?
Yesterday I have also uninstalled my most recent version then re-installed it via the Creative Cloud File manager. . My copy is 2014.0.1.30 CL 785017
I hope this gives you something to work on.
I look forward to your reply.