As you will see if using F10 for the restore then the error codes will possibly be related to either a hard drive or memory problem. Depending on your Vaio model you may have two memory modules, if so try fitting one single module at a time to see whether this narrows down the problem.
Memory dumps can be caused by hardware or software problems and without analysis of the dump file it is impossible to know what is the cause.
Removing and replacing memory is usually a very straightforward procedure as long as antistatic precautions are taken and generally your user manual will give instructions on how to do this.
I believe your model does have two memory slots and you will find these under a panel on the underside of the notebook. If you can provide the exact model number we can point you in the direction of the on-line manual, or click the Support tab at the top of this page, select Online Support and then enter your model - VGN-CR42x/x.
I would check out the memory first as this has thrown up an error. Start by trying each of the existing modules singularly in each of the slots.
Even if you need to purchase two new 2Gb modules this should cost no more than £50.