Yes you can. This is common in vehicles that run alot of electrics while the engine is not running.
However ensure the replacement battery can be properly secured and fits within the confines of the space the vehicle provides.
'Stronger' , I think you mean higher or lower. A Car Battery contains sulphuric acid . Hence pH = 1 Lemon juice is an acid in ots own right ; Hence pH = 4 The lower the pH value to more acidic (Not Stronger) it is.
You can't. You have what you have. Buy a larger CCA battery if you want more power.
Jump the car from another car battery or hook a charger to the battery.
You can get a new battery, you can jump start the car with jumper cables and another car with a charged battery. You can also put a battery charger on your battery to give it a charge.
If the battery has more cranking amps than the recommended battery and will fit into the battery carrier box the answer is yes.
Is there power to the starter "S" terminal? What car?
Disconnect negative cable first from old battery and connect it last when installing new battery.
yes
No
Yes
No, it will do nothing
The most common problem from what I can tell is battery failure. This car needs a much stronger battery than a normal car, and they are still working out the technical side of this.