you should probably swap out those blown caps. otherwise the regulators on the board are going to crap out and it will become a paperweight even if you replace the caps.
oh, also your bios chip is the "SST" socketed chip on the top right hand side of your pic. looks to be a 39SF020A flash memory chip.
your best bet is to go to the manufacturer's website and download a BIOS update for it and do what you need to do to flash it (usually boot with a disk or some junk.)
flashing the bios with a fresh image (even if it's the same version) often has the pleasant result of clearing out everything including BIOS password.
I'm not sure about your touchscreen. i doubt it connects the touch via LVDS since that is solely video, but they may have rolled it into a custom connector. but it likely just connects via serial or USB on an internal header.
in any case, there are plenty of LVDS drivers available on ebay that will convert the screen to VGA or HDMI or whatever you want. just search up "LVDS adapter" you'll have to find out how many pins the LVDS on the panel has. (often 30)
http://www.ebay.com/itm/HDMI-DVI-VGA-Driver-LVDS-Inverter-Kit-Convert-a-Bare-Laptop-LCD-into-Monitor-/111115624120