When using VPC, it is common to clone machines and rename servers, which can pose a problem for platforms such as BizTalk Server which are configured to connect to a given machine name at installation/configuration time.
The first step in managing a rename is to reconfigure BizTalk using the BizTalk Configuration Tool, but there is an additional step that is required from a SQL Server perspective.
If you perform the following query within the master table in the SQL Server that houses the BTS databases, you will get a record that includes the following:
select * from sys.servers
Where the server name has changed to something like "NewServer" it is necessary to not only rename the machine and assign it a new SID, but also to rename the SQL server name.
To do so, execute the following statement which drops the server name (don't worry your databases will still remain intact):
exec sp_dropserver 'CurrentServer' GO
Next, execute the following statement, providing the new server name:
sp_addserver 'NewServer', LOCAL GO
Now, run the same query as above and the result should include the new server name:
Once this is complete, you will more than likely need to unconfigure and reconfigure your BTS installation. There are some components where this is not required, but I haven't quite figured out which are which yet.