I have connected the 9V to the motors directly and they worked. I've bought brand new batteries just in case that the old was the problem, but still no luck running through the whole circuit.
My guess would be that the motors are 5V because, 4 AA batteries directly to the motors got them to run. So 6-7V straight from the L298N should do the trick. Could the L298N board be fritzed? That would make the most sense. As it is the only thing I haven't been able to test yet.
I will give the two CAD programs a go, thanks for the tip.
UPDATE: Eagle CAD wasn't available for trial in Australia, or at least I couldn't find the trial version, but I will give KiCAD a go.