If you can't see the job listed in 'Jobs' under 'Job Setup' then yes you will need to re-create the job, however since the select list is still there you can still use that.
When you create the new job, within the Selections area, use the drop down menu to select the relevent selection list you want, and that will then populate that part of the job. After that you just need to give it a name, set the schedule, and make any other non-selection related amendments, like Exchange / SQL config, though with any luck they'll already be correct by default.