It appears the the 1-port and 2-port connectors use the same 30-pin pinout (see slide #9) : http://www.vesa.org/wp-content/uploads/2010/12/DisplayPort-DevCon-Presentation-eDP-Dec-2010-v3.pdf However, I read in a Lenovo forum of a guy trying to put a FullHD panel in a 1366x768 laptop, a U430. He tried 9 different cables from many different FullHD thinkpads and eventually settled on a U530 connector because that device came with a FullHD screen.
https://www.youtube.com/watch?v=OPuCmfhz... Has a description of how to dry out the layers of glass in a nexus 5. Unfortunately, Nexus 7 glass is hard-bonded to the digitizer. You can get a new screen for $40. I don't recommend this repair, I have done it and you have the pry the most gowd-awful bits of glass from the frame with a crowbar and little strings of glass pull away from the frame, you must chip them ALL away with a metal prybar, the glass comes away in strings holding together for dear life and threatening to go flying across the room. You are very likely to get a cut on your hands and the repair is very aggravating, it takes hours, this is one repair you would rather have a professional do, or buy a new Nexus 7 on ebay they can be had as cheaply as $45-$70.
If you replaced the screen and now the device won’t start, it is possible that the power-on-self test (POST) is not detecting the screen (check screen connection), or that the battery has a faulty connection (check battery connection) or is completely used-up (buy a new battery).