I'm not sure which power supply is C589, the pack you have C.922(or one like it) was current until about 1998, roughly the age of your set. In the photos the controlers are connected the the transformer apparently correctly, so connecting the 2 red blocks with brass pins one to each lane under the track. If the cars run the wrong way turn the block through 180 deg.
Without buing a piece of track, new controlers and matching power supply is the only way to up grade easily.
pm me if thats not clear
umm the picture is not my set it is just a picture what i found to show you all which set i had. but yeah thanks for the info i think iv got it now i hope