Hi,
had the same error, no working RTL8111E with Lnx2Mac driver after sleep.
No difference if I used fixed ip of DHCP.
if connected to 100 MBit switch there is no problem, when connected to GBit switch the network is functional after boot, and sometimes after sleep.
Tried two different GBit switches (TP-link and LinkSys)
removed Lnx2Mac driver and installed Realtec 2.0.6 driver.
Up to now the network is active 100% of the time (20 trials, sometimes after short sleep, sometimes after 8 or more hours sleep)
Did not test with the fix ip address
Good luck
Wilco