Starting undionly.efi or snponly.efi from the linux command

[NiKiZe]

to show pciid you should use lspci -nn

net0 is probably the same buggy behavior as seen in http://forum.ipxe.org/showthread.php?tid=8296 and there is also a few other mentions for 14e4-1682 if you search for it.
Do you have link on any of the other nics?
net2 seems to almost work but no dhcp reply was received. - if you expect it to work on this nic - have you made sure that STP is disabled, or at least put in fast mode (as described in the error url)

if your nics have working firmware support, then you could try snp.efi build instead.