Chess King 4 - Good or Bad?

First off let me say that I am not familiar with that software. But I am writing to say this.
I seriously seriously doubt that it better than a premium membership here. Premium membership offers unlimited tactics trainer problems, plus more instructive videos than you will ever watch plus chess mentor training plus some other stuff. I don't think any software package can match that.
But of course, that is just my opinion.

I think you are correct that the videos are only for the Diamond members. They are very useful - there are hundreds of them - many are are for the beginner and intermediate level players. Most are probably for the 1600-2000 level player.
Daniel Rensch and Eliot Liu have some good videos for the 1000-1500 level players, but there are lots of others...