IIRC, those comments were made in response to a push to enact anti-BDS legislation that would, among other things, prohibit government contractors from participating in BDS boycotts. That's a pretty significant attack on first amendment rights and there's a valid argument to be made that such a push does suggest divided loyalties.
Everybody in Congress is bought off. Is it now off-limits to point that out when the alleged briber is from Israel.
Again, I don't know that she wasn't deliberately using dog whistles, but her points have merit if taken at face value.
No, King's statements weren't comparable. There are no charitable, non-xenophobic ways to interpret his comments about culture. His history with making these comments is also much longer and more extensive than Omar's, and his repeated support of far-right white nationalist politicians just lends more support to the claims against him.