Rendering Problem. Help, Please

Okay, so my laptop isn’t the most powerful computer in the world, but it’s the only thing I have. Whenever I try t render out my scene in Quicktime, it will almost always crash before the render is finished, making all of the rendered stuff before useless. My way of getting around this was to just render it in an image sequence. It still crashed after a while, but I had all of the images it rendered before the crash. I put those images into my video editor (Adobe Premiere, if that helps) and made it a video that way. The problem is that when the video plays, it looks very jagged and interlaced whenever there’s any movement. Does anyone know how I can fix this? Is there a better way to render out as a video from the start?