How do I request that previously taken classes be counted toward my current program?
Now I'm being told that I have 4 because I have to retake A&amp;P 1 and 2 with cadavers. 


While I find blanket condemnations of the passive voice to be misguided, this is a case where such an objection is well-founded. Who told you you have to retake them?

There are two main options. One is to go the professor in charge of the course. Go to office hours, and tell them about the courses you previously took. If you took the courses. Ask them what sort of discretion they have as far as granting course credit. For instance, Sometimes a professor can grant credit based on a course challenge exam. If they don't have discretion, ask them who does.

The other option is to talk with the chair of the department. Seeing them in person would probably be be best, but if they don't have office hours or other opportunities to see them, you can email them. As far as how to "respectfully" ask: really, the main thing is just to present it as inquiry rather than a request, and definitely try to avoid giving the impression that you feel entitled to an affirmative response. Showing a willingness for a compromise, such as taking the final exam for the course in lieu of taking the whole course, rather than expecting to have the requirement completely waived, also helps.