Let me try and answer some of your questions regarding transcoding on the VU+ DUO2. I have one now for almost 2 months and am very pleased with it. I got the 4 DVB-S2 tuner option (or to be more precise the double twin DVB-S2), mainly for the transcoding capabilities. This way my son can watch his baby TV, I can watch the news and my wife can watch whatever she wants while recording something else (even if all the channels are on different transponders).
Now lets stop barging and start answering some of your questions.
If you watch SD channels, than you don't even need the transcoding capability to watch them remotely. A normal SD channels is between 2Mbts and 4Mbts. I have so far not come across any SD channel which would even come close to 4.5Mbts not to mention 5 Mbts. This means that if you choose to watch the SD version of a channel, you don't need to use the 8002 port and ask your device to transcode it on the fly, you can just freely stream it to your device through the 8001 port and the quality is the same as if you were watching it on your TV (the device where you stream it needs to have at least the same resolution as the stream, which almost every newer device has).
Now the stream will be as stable as your internet connection, both you upload at home and your mobile download and latency. This means that if something drops below the bandwidth of the stream, lets say your download speed on your device goes to 2Mbts while the stream is going at about 3.5Mbts (that is the normal average for my SD streams), than you would see some buffering, than lots of pixels and finally when your download speed would improve it would probably just skip the part where you were having some connections problems and the stream would resume with the full quality.
OK, but i suppose you can stil transcode them to say to 1mbit/s and to keep the SD quality? What is the format of direct streaming (whitout transcoding) ? Because on my dreambox800HD i have a pure ts stream of approx. 8-10 mbit/s.
Now if you are watching HD channels, which tend to go from 8-12Mbts (I usually see them at around 10Mbts), than you would need to use the transcode feature of your device. If you set it at 5Mbts, the box will usually output a little more than 5Mbts (not sure why, but I normally get about 5.1 or 5.2), maybe the sound is not counted or something like that. This will mean that your 10Mbt HD stream will be compressed to 5Mbts on the fly, and streamed to you wherever you are. I think the resolution will be the same as the original one, however I need to check that as I have not paid close attention to that detail.
On my Dreambox800hd i have a pure ts stream of approx. 40mbit/s. I will really appreciate information for the resolution after transcoding and streaming of FULLHD program at 5mbit/s ?
At 5Mbts the quality will be way above the SD quality, thus you should be very pleased with it. The reason I don't use such a high quality streaming is that which mobile data (not sure about your 4G) but in my case, I usually get between 2Mbts and 8Mbts. Thus I prefer to lower the stream to 2Mbts and minimise the buffering to the maximum, and the quality is already very good.
The rest of your questions depend more on the stability of your internet connections (both upload at home and download everywhere), than the capabilities of the box.
So, if you have stable upload and good download, you can watch with no problem for 5 hours for example?
I hope I have answered your questions, if yes feel free to press the Thanks button below