My hard work has payed off.
At last, my display cable for my Original Xbox has arrived in the mail! I plugged it in to my Xbox and turned it on. Thank god there wasn't any blinking green + red light or blinking / solid red light; it works perfectly! It can play CDs and Xbox game disks with no trouble. Though there's no receiver thingy to play DVDs, but hopefully I can find one at my local Value Village.
**EDIT** also all my controllers work