Zac - the washer. I thought my washer is empty. When I pour the screen washer fluid in the bottle, it flow out straightaway. The gearbox recently started to judder when I stop briefly to park or at the traffic light. This doesn't happen all the time, every now and then. But I'm curious if one have anything to do with the other!
Depending on the make and model of your car ATTILADHUN you can possibly pick up a screenwasher reservoir for a couple of quid. They're generally easy enough to fit too.
The automatic gearbox should be left to experts and will certainly be more expensive.
The judder could be caused by the clutch and if the water is leaking into the bell housing it could be problematic...you must find and eradicate the leak.