the old automatic transmission that the KE70 used was either 2 speed or 3 speed automatic (meaning no overdive - same as no 5th gear in manual)
they are fully hydaulic and have speed governor and kickdown cable to shift. Their selectors are not very unique either, any toyota shifter can be made to work. The pedal set is different (no clutch) and you will have to change the radiator for the one that can incorprorate an oil cooler. You will also need to have the driveshaft redone and have the gearbox mount remade. Its not very difficult to do if you can locate the gearbox, the flywheel (flexplate - to mount the torque convertor). Ask a mechanic or scrap dealer, they know of these automatic gearboxes, they used to come in Liteace, Starlet, Corolla etc. more known as A41. My late father told me once that some "recondition 82 SE corollas with the big bumpers" had them and the used car showrooms had them changed to manual because no one would buy the automatic cars.
The early 2 speed gearbox is called A20 - you might never find it in Pakistan, and its good that you dont find it, its hopelessly slow and very delicate. It is not durable as the later A40 and A41