It is most likely a battery problem
while the tell you the batteries are good for 500 or so charge/discharge cycles (about a year 1 &1/2 of daily use)
you are lucky if you have gotten 1/2 that many before you notice reduced run times or even no charging (laptops are NOT cheap to buy OR maintain
A couple things to check in the manual/MFG website is if there is a fuse/circuit breaker somewhere either in the battery or in the power/charging circuit that MIGHT be user replacable/resetable.
If you are still under warranty (batteries are usually NOT included, or have a very limited time span, but check to see if it's a recalled version (free replacement

) or if they offer a reduced replacement price.
if warranty is over, I would consider an Aftermarket battery for a reputable reseller (not the cheapest, but still 1/2-1/3 the price of a factory battery) that offers a replacement/return option.
I've had good luck at
http://batteries.com/index.asp and they even free rush shipped replacements for 2 out of 36 that were found to be defective 2-3 months later for a client. (I recommend allowing for yearly replacements for all laptop buyers, and to buy several spares for power users/road warriors who tend to eat/lose batteries even faster than expected

If you can find a friend that uses the same model batteries/charger you can ask them to test your battery and charger.