Carry on- You will need a doctors letter for the apple juice. Apple juice is served on AA or in the airport after security. You do not say which airline you are traveling on. Yes, tsa allows needles. All medication must be in original bottles. DO NOT CHECK Medications. The reason is if your luggage gets lost or your flight is diverted you will not have your medications. Snacks anything without liquids. I take peaches, nectarines, grapes or sandwiches.
You are allowed 3.5 ounces of liquids that go in a zip lock baggie that does include lotion and makeup. If more than 3.5 ounces it will be discarded. I worked in the airline industry for years.