The audio out of sync problem it's probably due to you low PC specs, to solve this you can try to use different rendering modes (RGB is one of the slowest I think, maybe try to switch back to Default rendering mode, or ttry also the others), or change the video decoder (you can see which codec is used to decode your video by right-clicking on BSplayer control window and then selecting Options -> Filters -> Advanced)
Maybe try to install FFDShow or XviD decoders, but I don't want you to mess too much with your system if you don't really know what to do (at least not now that I can't provide you more info since I have not much time)
As an alternative, you can try to add/reduce a delay to the audio stream (SHIFT+CTRL+LEFT_ARROW to decrease the audio delay, and SHIFT+CTRL+RIGHT_ARROW to increase the audio delay)
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