I had a similar problem on Galaxy S3. I found the solution in this answer: https://stackoverflow.com/a/20433029/3531606.
The problem was solved by adding the following css to all problematic DOM elements:
-webkit-transform: translate3d(0,0,0);
transform: translate3d(0, 0, 0);
Applying translate3d to element can turn on hardware acceleration on some devices (see this answer: https://stackoverflow.com/a/18529444/3531606), so it may help with the rendering too.