1) I was also a research tutor for an autism research program in which I tutored an autistic child using an experimental curriculum. This was a paid experience. Would I list this as Paid Employment, Teaching/Tutoring, or Research/Lab?
2) In general, if something is paid does it have to be listed as payed employment?
3) Right now I work full time as a Clinical Research Coordinator. I'm paid but I listed it as Research. Is that wrong?
1) Did you come up with a hypothesis, design the study, decide what measures would determine if the new curriculum is more effective, author the experimental curriculum, or have any input into these processes? If published would you be a coauthor? If no, and you were hired to utilize someone else's curriculm, I'd list it as either Employment-Nonmilitary, or Teaching; you get the choice depending on what would balance your application more.
2) Again, you get a choice. Many entries have more than one possible designation. If some other classification suits your paid emplyment teaching, leadership, artistic endeavors), you can choose it instead.
3) It depends on what you mean by a 'research coordinator.' Some of them hire/recruit other folks to gather data, make sure a lab has the supplies it needs, organizes meetings so teams discuss their findings, works with the PI and types out his proposals to win grant money, works with pharmaceutical companies to get the medications being tested, etc. Others use that term to mean a person who calls the patients to get the data directly, utilizes a team of undergrads to perform assays/studies, but then puts together and analyzes the data to reach a conclusion. So I can't tell if what you're doing is "Research," but if it's something like the second list, you probably are.
If one is doing research, whether paid, for credit, or volunteer, it should always be listed under Research.
If I haven't answered your question, give me more information.