No, no and no. If you want to show your PC on your TV you have to connect it with a cable. To control your PC with a remote, you have to buy a PC remote and IR dongle. To play HD video, you can do that if your video output (VGA in your case) supports HD (720p or 1080i or 1080p). You can only get HD sound through HDMI, so you'll need a new video card with an HDMI output. But you can get Dolby Digital 5.1 several ways, including coax, optical and HDMI.
Not sure how any of this relates to a BD player. You can only connect a standalone BD player to a TV. I suppose if you have a video capture card with component or HDMI inputs you could connect a BD player, but those typically cost a lot more than the player. If your goal is to show your PC screen on your TV, the a BD player is incapable of doing that.
If you want to show BD on your TV, then get a BD player. If you want to show your PC, get a cable and remote, or a new video card, depending on how far you want to go (HD sound, smooth HD video, etc.). PC's that lack HDMI outputs will probably be too slow and choppy on HD video to be watchable. However, decent video cards with HDMI are quite cheap. I only paid $15 for mine.