First if you are using a shared hosting on godaddy you proabably can not defined the
www.cheshire.ctpma.com/
Second when we go on the
ctpma.com/ and
cheshire.ctpma.com/
we received websites.
We do not understand your problem with menu and the templates.
We have clicked on several menu in the cheshire.ctpma.com website and received infos correctly displayed.
Can you provide more detail and perhaps screenshot that surround the parts of the screen that is not correct for you.
Give a detailled scenario that can be reproduced.
Normally when you work is godaddy, everything should be OK (Symbolic Link + DB sharing).
When you create a subdomain on godaddy, by default it creates a subdirectory on your domain. (ie. /cheshire).
Therefore you have to check the Symbolic Link is allowed.
If not, review the Global Configuration (logs and tmp) directory path as explained in tutorial video 6
www.jms2win.com/tutorial#jms12x-6
Once you have the Symbolic Link allowed, this mean that you can deploy your slave site into the "....../cheshire" directory.
In JMS, it is also possible to have specific templates directory.
See the files and folders parameters to ask (copy) or (special copy) to have symbolic link depending on the "thems folder" parameters - see user manual.