I am assuming you have set up jamit and running it your new server, if so I would do 2 things
1) Delete the cron jobs for jamit through cpanel. if you dont have cron jobs set up, you dont have to do this
2) Delete or rename the folder containing the jamit files. this will stop serving any pages from that server [IMPORTANT: Make sure you have moved the files over to your new server before you delete]
Fuji
I have a number of cron jobs and folders on the old server. Do you have a list of the folders and/or idea of what folder the cron jobs are saved in usually?