Do top Economics grad schools ever accept perfect average state school students?

[pistoche7]

Suppose a student from Ohio State had a 3.7+(All A's in higher math courses like real analysis and Calc 3), 99th percentile in all sections of the GRE, published research paper and maybe an internship with good recommendations; will the student have a good chance at schools like Berkeley/Harvard, what about NYU/UCLA ?

Now - narrowing it down to my problem. I'm a first year student at FSU, and I messed up in my first semester and ended up with a 3.2 (tl;dr Mexican grad student who taught calc 1 didn't know english and gave everybody C's except for one who got an A). I just found out that if I transfer (was planning on guaranteed admission into Ohio State next semester), my C in this class will show and my gpa will be averaged with my final gpa from OSU when graduating. I know I can do better than a C in Calc as I've taken it before in high school and gotten an A as well as passed the IB exam (the credits didn't transfer for some reason because of FSU). If I get all A's in the other math courses needed for an Econ PhD (I've also discovered myedu which gives grade distributions so I will no longer pick grad students as teachers) as well as all A's in my other Econ major requirements, do you think the grad admissions officers at top schools will factor in this C when making their decisions, although, say I get an A in real analysis (a far more difficult class).

Another question is, if I retake this Calc 1 class during the summer, the grad schools see the new grade and not the old one, or will they see both and view the new one as the more showing of my abilities rather than the old C?

tl;dr An economics student just wants to know if his dreams of being an top economist for the US government are shattered (not looking to work in academia).