What's your favourite thing about working here and what's your least favourite or what's the one thing you would change?
What's your on-call schedule / staffing like?
If you could have me come in and work on one thing, what thing would produce the most benefit / fix the most things?
Let's say things are going well and I get the Job. 3/6/9 months from now, what would you define as success in this role? What do you need me to come in and do short and long term?
What's the oldest computer currently in production?
How does the Infrastructure / Architecture looks like?
What recent initiatives are the result of an outage, process failure or other critical fault?