ago,

You did not mention how you imported the jobs.  Did you script them out of
one server and into the new server?  Did you copy the rows directly from
sysjobs, sysjobsteps, etc?  Did you restore a copy of msdb on the new
server?

When the jobs fail, what errors do they report?

One thing to check is whether the originating_server column in sysjobs
matches the name of your current server.

SELECT name, originating_server, @@SERVERNAME from msdb.dbo.sysjobs
WHERE originating_server <> @@SERVERNAME

If your jobs are still referring to the original server, then you will need
to update the originating_server column in your new msdb.  You can do it
like this:

1. Stop SQL Server Agent
2. UPDATE msdb.dbo.sysjobs SET originating_server = @@SERVERNAME
3. Start SQL Server Agent

RLF