This isn't exactly media bias so much as media sloppiness. Really simple things that imply that the paper's editors and fact-checkers are either non-existent or very overpaid.
Let's begin with "insider trading." According to the Post,
Insider trading is a term that encompasses any stock transaction by a company's management, board or significant shareholder. What makes it illegal is if those insiders trade on key information not publicly available.
Well, this is sort of right. The problem is that insider trading encomapsses anyone trading on non-public information, not just the corporate bigwigs. It means that you, yes you, are at risk, if the company CEO gives you a heads-up, and you trade on that information, even if you don't work for the company. The "insider trading" reports that are filed with the SEC are restricted to senior management and major shareholders, which may have confused the reporter. But since this was in an article about alleged criminal activity at Qwest, so the relevant part was the insider information, not the status of the trader.
The relevant New Year's Resolution suggests itself.