You will need a new battery, but first try charging the battery and see if it holds a charge. In the meantime, fix the coolant leak ASAP and refill with antifreeze. Do not assume that the head gasket is broken or that the ECT sensor is bad.
Remember to 'burp' the system once the coolant is warm and flowing.
I agree, the slowing of the car is troubling, but you do not know if the extent of damage affected the rings or compression. It could just be engine management slowing the car.
A warning, it is going to get very cold soon, so get started as son as you can.
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Keeping it running is better than buying new
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