Just copying the files from one server to another definitely will not work. You need to run the install on the new server so that the paths, urls symlinks etc are set correctly. Where is your store hosted, both old and new stores?
If you are not moving the store to a ShopSite partner then you will need to contact ShopSite sales for download information.
Here is the information I posted in regards to your other post really early this morning.
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If you do not want to upgrade to a newer version of ShopSite you just use the older version install. If your new host is a ShopSite partner they should be able to do that for you. If they are not a partner you would need to contact the ShopSite sales department for access information to the install files. You can use the form on
http://shopsite.com/ready-3.html to contact sales.
Note if you are moving from one partner to another or from a partner to a non-partner host you will need to get a new authorization file. If you were at a partner sited and had a monthly leased license and are moving to a non-partner site you will probably need to purchase a paidup one time license since monthly license are only allowed through partners.