The ADSM server environment for this question is MVS.

I would like to be able to automatically schedule the following steps to be
executed one after another.
It is important that step 2 is not started until all the commands in step 1
are finished.  The same is 
true for the rest of the steps. 

Step1: Incremental backup of primary storage pools

ADSM commands:
backup stgpool backupppool disaster-recovery
backup stgpool archivepool disaster-recovery
backup stgpool spacemgpool disaster-recovery
backup tapepool disaster-recovery


Step 2: Update volumes to offsite status

ADSM command:
update volume * access=offsite location='vault site info' - 
wherestgpool=disaster-recovery whereaccess=readwrite,readonly - 
wherestatus=filling,full


Step 3: Backup ADSM database

ADSM command:
backup db type=incremental devclass=devclassname scratch=yes


Step 4: Backup volume history, device configuration and server options
files to be taken to disaster recovery site.

Use MVS utilities backup volume history, device configuration and server
options files to be taken to disaster recovery vault site


Step 5: Create a disaster recovery pull list from CA-1 TMS which lists all
ADSM
datasets with the disaster recovery dataset prefix which are on site.