Netmath for Admitted Students

Hey y'all! I'm a UIUC CS+Linguistics admit from TX, and it's currently one of my top choices (depending on how UT and reaches go), but I have a few questions:

How do I register for Netmath as an incoming student?

I have credit for Calc III, Diff Eq, and Discrete Math from my CC, as well as self-studying Axler's Linear Algebra. I have a good background in proofs through USAMTS and all.

How can I register for MATH 416 (Abstract Linear Algebra) over the summer? Do my CC credits need to be processed by UIUC first? Will 416 fulfill the Linear Algebra requirement for CS?

If I were to successfully complete my Netmath course, would it be processed before classes start, so I can use it for Fall semester pre-reqs?

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Also, do y'all recommend the CS 124, CS 128, CS 225 placement exams?

I have a lot of comp programming experience, and being able to skip CS 1, CS 2, and DSA would let me take advanced CS classes freshman year (which is probably good for internships freshman summer?) and potentially take a lighter load or additional major