How many AP classes have you already taken?
This is not a contest to take the most AP classes. I think that you should be cautious about overdoing the AP classes. Your junior year you will have some other tasks to think about such as researching which universities to apply to, and visiting universities, and studying for the SAT or ACT exam.
We do not have any actual human doctor in the family. I do have a daughter who is more than half way through her DVM. If all continues to go well then she should be “Dr TwoGirls” in about 15 months, but her patients will be large, furry, and be very bad at describing their medical issues. Since in undergrad her required “pre-vet” classes were the same as premed classes, she does have a few friends who were premed (one of whom is now in their residency, one of whom is in medical school). While as far as I know they all took some AP classes in high school, my daughter and as far as I know most of her premed friends did not take a huge long list of AP classes.
Regarding honors precalc this will set you up for calculus senior year, which is sensible. My daughter took both physics with calculus and physics without calculus, and liked it a lot better with calculus. Having the additional math tools does make a number of things easier to understand. Harmonic motion and planetary motion come to mind, but there is more. My vague recollection is that electricity and magnetism for example uses calculus, or at least did when I took it as a freshman in university. However, physics with calculus can wait for university.
Mostly I would suggest that you take the classes that make sense for you, and be cautious about overloading yourself. A modest number of AP classes and a lot of A’s will help. If you are serious about being a premed student then I would think that you would want at least one high school class each for biology, chemistry, and physics. I did not notice biology in your description, but presumably you are taking a class in it at some point and it can wait until senior year.
One additional small nit: We occasionally see posts here on CC from students who have taken enough AP and other advanced classes to get to organic chemistry as a freshman in university. While I have heard of at least one case of this going well, in most cases this is IMHO a bad idea. Spreading out the toughest university courses (once you get there) and postponing organic chemistry until either sophomore or junior year of university is more likely to be a better approach. Again, you spread out the toughest courses and take them when you are well prepared.
Or at least that is my recommended approach.