Welcome to the forum. Thanks for being willing to fix up your father's bike.
The problems you mention are very common to old motorcycles.
The fuel T leak may be a bad O-ring. I am not aware of which other models use the same one, but you can check part numbers at the liks below.
The overflowing from carb 1 likely has two causes-- a float valve that is not sealing due to dirt, corrosion or improper fuel level.
Also, the fuel petcock (valve) on the fuel tank is not stopping the flow as it should. It needs to be disassembled, cleaned, and have all it's rubber bits replaced. Genuine Kawasaki parts are the best bet here.
You really need to get a genuine Kawasaki factory service manual for your exact year and model. They come up for sale online now and then. It will save you much more than it costs.
You also need some JIS screwdrivers, or suitably modified Phillips drivers. All those cross head screws are nut Phillips. Hopefully, 650Ed will be along soon to post his helpful introduction.
There are lots of helpful and knowledgeable members here. Don't hesitate to ask questions.
www.z1enterprises.com/store/model/kawasa...0/kz750-e2-1981/carb
www.kawasaki.com/Parts
www.partzilla.com/parts/search/Kawasaki/.../KZ750-E2/parts.html