The only way to bring the Execute Procedure screen back up is to right click the procedure and select the execute option.

Or as I have said above, you know what information you want to pass in via the parameters so just build an EXEC string up passing in the values you want

EXEC [IT].[Insert WorkRequest proc] @DeptID = '', @ITDeptID = '', @Department = '', @problem = '', @completed = '', @notes = ''