First of all, at the risk of being ridiculed by those who drive fancier cars and dress better than I do, I will freely admit that I am an academic pathologist. Hence the points that I raise may not apply to you. If so, feel free not to read my post and I apologize for wasting your time. I guess I will raise this point for those who are going into academics.
First of all, you want to know if the department is short-staffed? If so, this will affect the services that you will be required to do. During your interviews with the director of AP, for example, if you are asked if you are willing to cover services in which you are not an expert, short staffing is likely a problem. I am fortunate to not have taken a job that requires me to cover a service I am not comfortable covering. My job covers one subspecialty and I am not required to cover frozens (hence, no call after hours or on the weekends).
Second, an important question to ask is how much protected time you will be given. If the hospital is short-staffed, you will get less protected time because service weeks need to be covered. Fortunately, my job requires me to be on service 26 weeks per year instead of let's say 38.
Third, you want to know internal research funds. If the department is doing well financially, internal funds for clinical & translational projects will be ample and you can get a nice startup package. My startup was over 200K. Not required to write for grants either.
These are things that you can negotiate. So, this advice applies to everyone. Before you sign the dotted line, negotiate. If you don't ask, you will not receive. Once you sign, your leverage is reduced to zero and you're stuck with what you have. Salary...negotiable definitely.