Yes You can charge a DS With your iPhone, you just need to jailbreak your DS.
No do not charge your DS right away. Wait till it becomes very low and then charge it.
No. The DS charge cable has a different connector than the DSi family of systems. The DS' charge cable can only be used to charge a DS or a Game Boy Advance SP, whereas the DSi's charge cable can charge a DSi, DSi XL or 3DS.
The iHome will charge and play the iPhone. Your iPhone must be in airplane mode to avoid interference when the iPhone communicates with cell towers.
No.
Can your ds burn out if you charge it all night?
you can not!
charge it
no
yes, you can
You will have to charge it with the Nintendo DS charger.
Until ones iPhone is charged.
Yes there are available stands that will charge your Nintendo Ds unit as you play such as the Charge Boy Ds.