A more appropriate topic name would make things easier; "totally frustrated" really doesn't mean anything to others in the forums - so if you want to attract other readers who might be able to lend a hand, a subject like "problems with networked HR10-250" might be more appropriate...
In any case, if your unit is losing its DHCP IP address than it is likely that your router isn't configured properly, or you have another device that is "stealing" your IP address, or you have a bad cable or adapter. Unfortunately, there is no easy way to make this determination other than to methodically make the determination through the process of elimination. Its unfortunate that you do not have time to troubleshoot, but that is exactly what is required.
As for your daily call, it is not required; but to make one you would need to connect a phoneline. If you don't need to make one (ie you are not ordering PPV from your remote) then don't worry about it, and if you are not using TiVoWebPlus or other networked features, then you don't even need to be connected to your network...
As for your slingbox, your TiVo does not need to be connected to the network - the slingbox does - the connection between the TiVo and the slingbox is simply through the video/audio connections...
As for the program guide info, that comes from the satellite, not the phone connection or the Internet...
Hopefully that answers all of your questions -- you are not going to find a single document that addresses all of these specific issues, however the Official Support Thread for PTVnet is probably a good place to start.
For answers to commonly asked questions, please refer to the
InstantCake Instructions and Release Notes,
Official InstantCake Discussion Thread, and the
Official PTVnet Discussion Thread
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