^ sorry to say, you can't get a 12 Volt 7-7.2 AH battery for Rs. 400. Last time I bought one for my UPS about 4 years ago, I had to shell out 580 bucks, and unfortunately, my UPS died soon after that.
As far as driving 1 watt LED's, IMO (most of them are rated at 300-350 mA), so, you need that much current. Alternatively, if you want to use LED's with a 12 Volt source, try connecting 4 LED's in series directly to the battery and if the light is less, remove one of the LED's and you're still good to go. Most of these UltraBright LED's are capable of handling voltages around 4.5 volts, so, IMO, 4 volt won't do any harm.
As far as the battery charger is concerned, you can't rely on this solar panel, you have to get yourself a mains charger.
The solar panel gives 6 volts and 200 mAH current an hour (both at peak power output), so, if you want to charge a 4.5 AH battery, i.e. 4500 mAH, you'll need 4500/200=22.5 Hrs - at peak power output of the solar panel which is not possible at all times in a day. So, even if you consider the panel working at it peak output for even 6 hours a day, you'll need more than 4 days to fully charge a flat battery. Moreover, that panel won't be able to produce the necessary 7.2 volts to charge a 6 volt battery.