+100 to @JuliaJulia1 ’s reply above that came in while I was writing this tome. What she said is spot on, but I’ll elaborate a bit for this poster and others who may be curious about applying to a service academy.
Although our son chose Army, he received an appointment to Navy as well; the process is the same. I’ve posted my standard reply below, but to this poster, I’ll first ask:
- Why the Naval Academy?
- How deep is your commitment to service?
Honest answers to those questions must be clearly communicated at every step of the long application process. If service is not the driver, an academy might not be for you. If being a naval architect/marine engineer is your goal, there are easier paths with a more likely guarantee of actually doing those things upon graduation. Academic majors do not necessarily determine what you will be doing in the Navy during your service years as the needs of the Navy come first. Apply to the Naval Academy because you want to serve as an officer wherever the Navy needs you, not because the academy is less expensive than Michigan. Also, make sure you understand how long your commitment might be as it varies by sub-branch. Our son is currently about half-way through his nine-year commitment as a Cyber officer.
OK, so on to my standard response: Due to the intricacies of the nomination process and the rubric the service academies use to determine appointments, it is impossible to chance anyone. No one knows what the competition in the OP’s district will look like in the year they apply, and they are only competing against those in their own district for a nomination. Without one, USNA cannot offer an appointment. So, focus on doing well in the most challenging courses available to you (especially calculus, chemistry, and physics as you are doing), participate in team sports and earn a varsity letter, look for leadership opportunities, then put together the best application you can and let the chips fall where they may – that’s all you, or any candidate, can do.
Now, more specifically. The OP’s academics look strong, but academics aren’t weighed by service academies like they are by civilian colleges as only a portion of any service academy class is chosen for academic chops. Navy is similar to Army which selects only about 1/3rd of any incoming class for academic prowess which is why the academies do not shine as brightly, by average GPA and test scores, as the civilian colleges many consider their peers. The other 2/3rds are chosen for other equally shiny traits. The service academies value a combination of brains, brawn, and leadership somewhat equally–as they must; their missions differ greatly from civilian colleges.
The service academies are looking to produce capable officers for each branch of our armed forces. It takes a certain kind of kid to go this route, and those kids don’t always look like the applicants to the usual civilian suspects. The OP will need to dig deep to be able to explain clearly and genuinely to the nomination panels why they want to serve as an officer in our armed forces and also be prepared to answer their understanding of the consequences of that decision. Candidates for service academies have a specific drive and goals that differ from typical civilian college applicants. The OP’s application and interviews will need to demonstrate that difference. The OP may have a burning desire to become a Navy officer that isn’t offered in the post, but be aware, the nomination panels are expert at ferreting out motives and goals because they know that getting through a service academy and the years of service that follow take a gut commitment to something other than academics.
One red flag in the OP’s resume is the absence of team sports as even candidates selected as scholars are also athletes. Again, all of the academies are similar in this regard. Of a recent USMA class of 1302 appointees, for instance, 99% were varsity athletes:
This emphasis holds in similar percentages across academies year after year, and a recent USNA Class Profile shows that 90% of appointees were varsity athletes with 68% of them being team captain or co-captain. Weight-lifting may help the OP pass the fitness test but does not check the heavily-weighted team participation and team leadership boxes. So, make a concerted effort to be an impact athlete in a team sport. But, if you absolutely cannot participate in a team sport, it will be critical that your application emphasizes those traits that team sports confer such as cooperation, commitment, and leadership.
If you are really determined to go down this path to serve as an officer, I recommend you head over to serviceacademyforums.com (like CC but for SA applicants) to become educated on the intricacies of the process and get your questions answered by current and former military experts.
Best of luck to you, but you should know that our son’s parents were heartbroken he didn’t choose Michigan. 
proud citizens…ready to serve.