Okay to charge iPad 2 with 14 Watt charger? My iPad 2 charger kinda burned. I bought a new charger from a shop near me. It is a 5v 2.8a (14 Watts) charger.

Is there any problem using that charger to charge my iPad 2?
That's okay. As far I know, the actual charging power is selected by iPad. If the charger supports Apple 2.4A, iPad charges at 2.4A. Otherwise, a lower option will be chosen. 
As long as you bought a proper charger, bad ones are unpredictable.