I think all these questions are important but I would like to draw special attention to the "Induction Process" question.
A company that can show you a good induction process, ready to go on the day you start, will often mean whether you are going to sink or swim in those very important first few weeks.
This is especially important for any sort of sales or marketing role but applies to all roles in my opinion.
If they are too busy to do this, or too disorganised, then you really need to evaluate do you really want to work for them.