1) 7513 Programming guide, Tables 15, 17, 18 show how to set up and pin out the inputs and registers.
2) Yes, see the 7612 programing to see how to define and connector to the output pixel bus
3) Yes, both parts can handle 1080p60
You might also look at the ADV7611 instead of the 7612, same pack but limited to 24 bit pixel bus, smaller package