Thanks PeterT! I've ordered a new cable on ebay, hopefully that will work. computer stores in my area seem to charge excessively for cables :/
If a new cable doesn't work I may have to try and find the receipt to exchange my KT. I have heard of others having a problem with their KT's micro usb slot in the actual device, and if that's what is happening here then I don't know what to do except get a new one.
Currently I'm working around the problem by connecting a microSD card to my computer and putting all my books onto that with calibre, which seems to work