iPod Model #1238 will not charge
For the second part of the question:

You must have a backup of your songs on iTunes..?

Now, if you replaced the charger and you confirmed that it works, the battery in you iPod might have a problem.
I would recommend going to a Service Center and getting it checked out.

By the way, even if you don't have a backup of songs on your Computer, they can probably extract data from the Drive in your iPod.