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I would suggest looking on YouTube for videos on drum brake removal, they can show a lot better/easier than describing anything on here.
I am by no means an expert on the mechanical side of things, I just tinker now and then with old cars, but getting to look a the rear drums should be pretty simple.
Remove the rear wheel and the rear drum cover should be removable, though you might need to tap it 'gently' with a hammer to loosen it - (edit - read the above posts, the hammer may not be required then!). Once you can see inside you can check the drum, the pads and springs etc. I also only just bought my Camaro and found that one of the springs in the driver side drum was broken, meaning it wasn't disengaging, you might find something similar.
The parking break cable you can check it is freely moving form under the car, I am not sure but I would guess there must be some adjustment available at one end or the other, otherwise I don't think its a big task to replace it.
I have to say I already bought a Haynes manual for my Camaro (out of habit), but the source of info readily available on YouTube renders it almost pointless!
I bought a Haynes Manual and a Chilton one too, both of em' rubbish to be fair. Pretty useless to someone who is familiar with motor mechanics and not enough specific detail (pictures, step by step instructions, exploded diagrams etc.) to someone who isn't.
http://www.amazon.com/CHEVROLET-CAMARO- ... ice+manual I picked this up today from my importer, hopefully it'll be an improvement!