I am not keen on the per diem pay Chris. Since it makes it sound part time, I suggest a much higher pay rate, as you will not have benefits. Don't establish a working relationship that shows you will work inexpensively.
Thanks for your concern, but if they offer me the job, I am definitely taking it. They also mentioned to me about how understaffed they are in their medical records department, so I am quite confident that this may turn into a more secure job and that they just want to test people out to make sure they can handle the work load. Also, since I really don't have much experience in this department, I really have no business making demands as to a pay rate. It's an "entry level" position.
Also, like I mentioned earlier, I've been dying to get a job in this hospital for years because it really is a good place to work. I know others who have or do work there and also have been a patient there.

If I get this job and things work out well, then I can request a raise and more hours after I've proven myself worthy of this position, I figure.