Watch a software and if its not running then restart.

you problem is that this is not the kind of thing automator was desinged to do. Automator is meant to run some task straight through, not for doing tasks that hang around waiting for a condition.

That being said, there are some odd things here. First, it seems weird that Isadora would have different behavior running at startup v. running manually. The app really shouldn't know whether it's a startup launch unless it was speciffically designed to make that distinction, and I can't imagine why any developer would do that. Are you sure tha information is correct? Second, every ten seconds is way too often. Launchd has a ten second throttle interval by default (i.e. it will actually block processes that try to restart faster than that).

The best solution would be to launch the app yourself using launchd and the KeepAlive key, which keeps the process always running, but we need to figure out oddness 1 before that will work.

You're setting a variable to a string value and testing it as a boolean.

Try

tell application "System Events"

set core_is_running to (name of every process) contains "IsadoraCore"

end tell

Jeremy