Receiver options.
1) No, chose your receiver based on the audio features and power you need for your speaker system. Video features are nice, but you can always connect video directly from the source to the TV.
2) All of the receivers you list will pull the audio off of an HDMI connection. The Yamaha RX-V2600 also includes video upscaling to 720p or 1080i. You should be able to get a good price, because the newer RX-V2700 model has been out for a few months.