Cannot acquire DHCP address

Your pc view only eth1 interface. Ifconfig don't see eth0. You can try with nm-tool command to see nic card, state ... Simple output will be like this

$ nm-tool
NetworkManager Tool
State: connected
- Device: eth0  [Auto eth1] ----------------------------------------------------
 Type:              Wired
 Driver:            xxxxx
 State:             connected
 Default:           yes
 HW Address:        74:27:ea:c2:62:58
 Capabilities:
 Carrier Detect:  yes
 Speed:           100 Mb/s
 Wired Properties
 Carrier:         on
 IPv4 Settings:
 Address:         xxx.xxx.xxx.xxx
 Prefix:          24 (255.255.255.0)
 Gateway:         xxx.xxx.xxx.xxx
 DNS:             xxx.xxx.xxx.xxx
 DNS:             xxx.xxx.xxx.xxx

Also you can try to renew ip settings from dhcp server first

ifconfig eth1 down

next

ifconfig eth1 up

or

dhclient eth1

You will probably get ip from dhcp ...

If is your cable in eth0 interface try to up interface

ifconfig eth0 up

To answer my own question,

1. I added a dhcp entry to /etc/network/interfaces

   auto eth1
   iface eth1 inet dhcp
   

2. I then restarted my cable modem. The modem appears to only provide one DHCP ip address per power cycle.

Fixed.