Is this schedule vigorous enough for ivies like Cornell and Dartmouth?

Junior year:
English lll honors
PreCalc honors
Spanish IV honors
AP biology (and Biology honors becasue you have to take it with AP).
AP world history
AP computer science principles

Note: my school also offers AP Launage and Composition junior year but I decided not to take it. Will not taking it kill my chances of admissions.

The person to speak with is your guidance counselor. The top schools will want to see the guidance counselor check the box saying you have taken the most rigorous course-load available at your HS. Ask your guidance counselor if your proposed schedule will be sufficiently rigorous for him/her to check off that box.