I think Jack was more with the racist comments, like when he talked about rice pudding in regards to Bella. He also walked like an ape in reference to David coming upstairs to the HoH room. He also was extremely condescending and intimidated Kemi about her putting her shaker bottle in the fridge.
As far as Jackson, I think the only thing they are basing racism and age-ism on is his nomination of 3 people of color and the old guy for banishment. I don't know what was in his head. He says he nominated Kemi because he hadn't really talked to her at that point and the other 3 he nominated because they also went for camp counselor. I mean to say he's racist because of that is a stretch. Granted it didn't look good. It also did not look good that 3 people of color were in the banishment room in uniforms. I'm sure it was all coincidence, but just did not look good. The fact is people of color do seem to get evicted first. Is it racism or is it not being able to fit in because you are in the minority and may not have as much in common with everyone else, which also isn't fair.
I do believe he disrespects women. His interactions with Kat and Holly demonstrated that 10 fold. Having said that he did deserve to win the game, putting personal stuff aside. Just like in poker tournaments, I'm sure plenty of winner are complete AH's but they were the best player, so won.