I have heard good things about Hitachi as well as LG... But, I haven't a clue what the 1080p thing is. No, the TV does not accept 1080p input. I don't know why a TV that displays 1365x768 would convert everything to 1920x1080... Except, perhaps, it converts 1080i to 1080p, then down to 1365x768. That at least makes the tiniest bit of sense. But, it all becomes marketing hoopla. Maybe the conversion to 1080p before 768p makes 1080i images look better, maybe a direct conversion from 1080i to 768p would be better. It really depends on the processor doing the conversion.
I would love to know more about the 1080p justification and why manufacturers are suddenly jumping onto terms like 1080p when they still don't make products that accept 1080p as an input resolution and actual 1080p displays are few and far between... and even THOSE displays generally don't accept 1080p.