First, I am NOT an expert about this. But here are my thoughts:
For your first paragraph, I don't think so. If it was an S-corporation, the sale would not be subject to NIIT, but I don't THINK that applies to C-corporations. Here is an third-party article that confirms my thinking:
"In contrast to partnerships, limited liability companies (LLCs), and S corporations, the NII tax applies to income from a C corporation regardless of whether the corporation's business is active or passive with respect to any shareholder."
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