Will my schedule keep me from getting into Ivies?

Do you need the AP Government course to graduate? If not, swap out the gov and CS to take pre-calc and chem. As @theloniusmonk and @happy1 above have mentioned, if you are trying for the ivys, taking calc is important. While I usually wouldn’t recommend taking pre-calc over the summer, if you did, you could take calc as a senior.

Obviously, you love languages. What do you plan to major in?

As an aside, you are the first person I have read about who could potentially take 7 AP world language tests (not including Spanish Lit)! Quite an accomplishment. Of those you listed as self-study, how many of these tests have you already taken?