I can't answer your first question, since I wasn't in that situation, but I can certainly try to answer your other two:
Second, does human anatomy counts for mammalian anatomy? I mean, I know humans are mammals and all, but... well, just checking.
It would depend on the course, I think, as two of the classes listed on the pre-requisite page (Biol 155, Biol 255) are human anatomy courses. I couldn't tell you which they prefer, though. Also: Remember that a physiology course with an emphasis on mammals (i.e. it should be equivalent to Biol 335 or An Sci 214) could be used to fill that pre-req instead of an anatomy course. And, if you've taken more than one course that fits the requirement (such as separate anatomy and physiology courses), they use the course that you earned the highest grade in to calculate your pre-req GPA.
The course descriptions for their Iowa State equivalent courses are:
Biol 155. Human Biology. (3-0) Cr. 3. F.S. A survey course of human biology, including principal structures and functions of the body systems and the diseases and disorders associated with them. Designed to meet general education requirements in natural science. Not recommended for those seeking a career in the allied health professions or for students majoring in life science.
Biol 255. Fundamentals of Human Anatomy. (3-0) Cr. 3. F.
Prereq: High School Biology and Chemistry, or Biol 101. An introduction to human anatomy, beginning with cells and tissues, surveying all body systems, relating form to function. Systems covered include: integumentary, bones and joints, muscles, nervous, sensory, endocrine, circulatory, lymphatic, respiratory, digestive, urinary, and reproductive. Pre-Medical students should consider Biol 351 for their anatomy background. Not intended for major credit in biology.
Biol 335. Principles of Animal Physiology. (3-4) Cr. 5. F.S.
Prereq: Biol 314. Introduction to systemic functions with emphasis on mammals. Nonmajor graduate credit.
Biol 351. Comparative Chordate Anatomy. (3-4) Cr. 5. S.
Prereq: 212, junior classification. The evolution of chordates as reflected in the anatomy of extinct and living forms. Lecture topics include the history and diversity of chordates; comparisons of anatomic structures among major groups, the adaptive significance of anatomic structures. Laboratory involves dissection of representative species.
B M S 329. Anatomy and Physiology of Domestic Animals. (3-0) Cr. 3. S.
Prereq: Biol 212, 212L. Survey of body systems of domestic animals. Provides a medical science orientation particularly useful to students in a preveterinary medicine curriculum.
An S 214. Domestic Animal Physiology. (3-0) Cr. 3. F.S.
Prereq: Biol 212, Chem 163 or 177. Introduction to anatomy and physiology of the neural, circulatory, respiratory, immune, endocrine, reproductive, and digestive systems of domestic animals.
Finally, it doesn't specify upper level genetics... is this a good assumption that it needs to be, or is that just preferred (like CSU). The class that is the most realistic for me to take this summer is sophomore level... otherwise I will have to take something online.
The Iowa State equivalent courses are both technically at the sophomore level (i.e. their only pre-req is intro bio, and they're usually taken as a sophomore), so you should be fine as long as the course you're looking into is equivalent to either of those.
Here are those course descriptions:
Biol/Gen 313. Principles of Genetics. (Cross-listed with Biol). (3-0) Cr. 3. F.S.
Prereq: Biol 211L and 212L. Introduction to the principles of transmission and molecular genetics of plants, animals, and bacteria. Recombination, structure and replication of DNA, gene expression, cloning, quantitative and population genetics. Credit for graduation will not be allowed for more than one of the following: Gen 260, 313 and 313L, 320, Biol 313 and 313L and Agron 320.
Gen 320. Genetics, Agriculture and Biotechnology. (Cross-listed with Agron). (3-0) Cr. 3. F.S.
Prereq: Biol 212. Transmission genetics with an emphasis on applications in agriculture, the structure and expression of the gene, how genes behave in populations and how recombinant DNA technology can be used to improve agriculture. Credit for graduation will not be allowed for more than one of the following: Gen 260, 301, 320, Biol 313 and 313L and Agron 320.
Finally, you should go
here if you need to look up any other course equivalencies. Hope that helps!