If I hook up 2 batteries in parallel and increase the current the voltage stays the same. Would the load still pull only the current it demands? In theory I could hook any number of batters in parallel and the load would just run longer.
Correct
If batteries of same make and voltage, but of different age. Say the batteries have a life expectances of 500 charges/discharges. And I have a battery that has 250 charges/discharges cycles on it and one that is new.
When hooked in parallel would this cause any problems to the batteries or load?
The older battery will not carry it's share of the load so it eventially will be as if it is not even hooked up, just along for the free ride
And what a fully charged battery was in parallel with one of half charge?
The batteries will tend to balance themselves by allowing current to move from one cell to the other until they equalize the terminal voltage.