I'll give you my advice, coming from someone who's favorite class is both orgo and biochem, and I got the highest grade in my orgo classes.
The reason, I think, why people do bad, or are even "afraid" or orgo is because a) they don't give themselves enough practice/ time and b) not fully grasping concepts, or are trying to memorize everything (most of the time, Orgo is NOT the subject for crude memorization).
I'm glad that you knew to give yourself time, but I don't think you need that much time in my honest opinion. Four days for me worked really good. My exams were always on Mondays and I studied Thursday-Sunday.
What really worked for me was to go over what I learned in class right away (or at least as soon as possible). By allowing yourself to engage and practice the material right after lecture, you understand the concepts early on, even if you don't grasp them fully right away. And if you can't grasp them fully right away, it's time you go to your professor's office hours. I usually went at least once a week to clear up any issues I had- even ten minutes visiting could help a lot. If that isn't enough, definitely try tutoring.
The biggest problem I saw for a lot of students in my orgo classes was that they believe it's all memorization. Don't be fooled by this, and definitely don't be one of the people that pulls an all nighter or two before the test. You will most likely do bad. Besides going through notes, I liked to test my knowledge on what I learned right away. Do all the practice problems your professor assigns in general, but do the problems specific to what you're doing in lecture. I also found it helpful to look over the chapter before the lecture- you experience the concepts early, so you don't get lost in lecture, which can happen in orgo a lot. Focus on these things as well: memorizing reactions (all i memorized in orgo), nomenclature, and then concepts. Concepts I believe should be last because you have the foundation from everything else. And for reactions, it's REALLY helpful to make notecards, and memorize them (reagents and what they do) early, so that way when you actually study for your exam, you focus on the bulk of the exam, saving you time. For mechanisms, i found it good to write them down on paper over and over until I got them. With anything in orgo, PRACTICE MAKES PERFECT!!! Literally. I sometimes did all the problems 10 times just to make sure I knew them. I know a lot of people struggle with synthesis- definitely know your reagents, and then do all synthesis problems until you feel comfortable in handling a big one on the exam. It's also helpful to make ones up with your friends and then exchange them for extra practice. Spectroscopy could be an issue too. I liked this site for extra practice:
http://orgchem.colorado.edu/Spectroscopy/Problems/1.html
Big overall pointers:
-Practice, practice, practice
-Review notes as soon as you can
-Get help early- don't be shy!
-Give yourself time
While I know you may be discouraged, and this may sound cliche as hell, but don't give up, especially if medicine is your dream. Don't give up on something that you can't go a day without thinking about. That's honestly what keeps me going. Keep working hard! Ochem is a challenging course, but that doesn't mean you can't do well. Take advantage of your resources and once again, PRACTICE!!
If you have any other questions, or need other suggestions, please let me know (Message me), and I'll be glad to help- Good luck!