Hi Sander,
You've discovered a change and a bug
Those odd lines come from a change in 1.5: when the real-time preview image is being magnified with respect to the original, the smooth quality option is internally replaced by maximum quality. This is because smooth quality generates inaccurate/useless screen representations when the ratio screen_pixels:image_pixels is greater than one. For example, if you open a small image, say a 16x16 png icon and select it on the Real Time Preview window, you'll see it perfectly represented in PI 1.5, but in PI 1.4.x and older, the representation was terribly bad in smooth mode.
A side effect of this behavior change is the odd lines that occur sometimes. They happen when the real-time preview image is enlarging the original image by a factor slightly greater than one, and are due to small rounding errors. They are only visible sometimes, and not all LCD panels show them with the same intensity. They should disappear if you resize a bit the RT preview.
The other thing is actually a small bug. Yes, the state of the Show transformed image button should be preserved when the window is resized. Thanks for catching it!