80710A06 is caused from the network outage right now, they say in a day or two it will be fixed, we will see, could take longer though, just keep trying.
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This error occurs when the PS3 is down for maintenance. On March 9, 2011, the Network will be down most of the day for routine maintenance.
Usually an error code 80028e02 means it has trouble connecting to the internet. Try this, it might help you configure your playstation to your internet connection http://howtofixstuff.blogspot.ca/2012/01/how-to-fix-dns-error-on-ps3.html