yes the usb charger can
No. You can only recharge it on the recharger it comes with.
no
Not if it's a regular duracell non rechargeable battery
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 DSi, and any other Nintendo handheld, will charge as long as it is plugged in and receiving power. The system does not have to be on to charge. The DSi can charge a dead battery to full in about 3 hours.
No. The DSi charger comes with the DSi when you buy it.
It takes about 2-3 hours to charge a dsi or ds. A dsi charger is different than a ds charger so be careful.
Yes, you can. However, all options still require a charger: The DSi XL, 3DS and 3DS XL chargers are all the same and can charge a Nintendo DSi
Unless you loaned the DSi, there is no monthly charge after you bought the DSi.
Duracell Supreme batteries are typically alkaline and are not rechargeable. If you are referring to rechargeable Duracell batteries, such as NiMH, the charging time can vary depending on the charger used, but it generally takes about 4 to 8 hours for a full charge. Always refer to the manufacturer's guidelines for specific charging times.
no
The dsi can stay charge for about 9-14 hours. You have charge it for about 2 hours and 30 min.