I'm not familiar with CA7, but if I understand your question Control-M can force a schedule into the batch stream on various outcomes.
Your subject is "Batch interface" and there are a couple of ways to interact with Control-M for the mainframe, one is through the Control-M gui and the other is through your session. I'm not a mainframer, but I knew my crew navigates it easily.
If you have BMC assisting you on the conversion, they should be able to walk you through any scenario.