I can access the machine over the local network and access services on the machine, but I cannot get online with the server. Every other device on the network can get online.

I'm stumped. Where can I start on this or should I just rewrite the OS?

What is the output of ifconfig -a, cat /etc/networks, and cat /etc/rc.d/rc.inet1.conf.

ifconfig -a results:

eth0: flags=4163<UP,BROADCAST,RUNNING,MULTICAST> mtu 1500
inet 192.168.1.105 netmask 255.255.255.0 broadcast 192.168.1.255
inet6 fe80::fa0f:41ff:fe37:a8b prefixlen 64 scopeid 0x20<link>
ether f8:0f:41:37:0a:8b txqueuelen 1000 (Ethernet)
RX packets 4821 bytes 462639 (451.7 KiB)
RX errors 1 dropped 0 overruns 1 frame 0
TX packets 3465 bytes 425805 (415.8 KiB)
TX errors 0 dropped 0 overruns 0 carrier 0 collisions 0

lo: flags=73<UP,LOOPBACK,RUNNING> mtu 65536
inet 127.0.0.1 netmask 255.0.0.0
inet6 ::1 prefixlen 128 scopeid 0x10<host>
loop txqueuelen 0 (Local Loopback)
RX packets 100 bytes 6568 (6.4 KiB)
RX errors 0 dropped 0 overruns 0 frame 0
TX packets 100 bytes 6568 (6.4 KiB)
TX errors 0 dropped 0 overruns 0 carrier 0 collisions 0


results of cat /etc/networks

#
# networks This file describes a number of netname-to-address
# mappings for the TCP/IP subsystem. It is mostly
# used at boot time, when no name servers are running.
#

loopback 127.0.0.0
localnet 127.0.0.0

# End of networks.


results of cat /etc/rc.d/rc.inet1.conf:

# /etc/rc.d/rc.inet1.conf
#
# This file contains the configuration settings for network interfaces.
# If USE_DHCP[interface] is set to "yes", this overrides any other settings.
# If you don't have an interface, leave the settings null ("").

# You can configure network interfaces other than eth0,eth1... by setting
# IFNAME[interface] to the interface's name. If IFNAME[interface] is unset
# or empty, it is assumed you're configuring eth<interface>.

# Several other parameters are available, the end of this file contains a
# comprehensive set of examples.

# =============================================================================

# Config information for eth0:
IPADDR[0]="192.168.1.105"
NETMASK[0]="255.255.255.0"
USE_DHCP[0]="no"
DHCP_HOSTNAME[0]=""

# Config information for eth1:
IPADDR[1]=""
NETMASK[1]=""
USE_DHCP[1]=""
DHCP_HOSTNAME[1]=""

# Config information for eth2:
IPADDR[2]=""
NETMASK[2]=""
USE_DHCP[2]=""
DHCP_HOSTNAME[2]=""

# Config information for eth3:
IPADDR[3]=""
NETMASK[3]=""
USE_DHCP[3]=""
DHCP_HOSTNAME[3]=""

# Default gateway IP address:
GATEWAY=""

# Change this to "yes" for debugging output to stdout. Unfortunately,
# /sbin/hotplug seems to disable stdout so you'll only see debugging output
# when rc.inet1 is called directly.
DEBUG_ETH_UP="no"

# Example of how to configure a bridge:
# Note the added "BRNICS" variable which contains a space-separated list
# of the physical network interfaces you want to add to the bridge.
#IFNAME[0]="br0"
#BRNICS[0]="eth0"
#IPADDR[0]="192.168.0.1"
#NETMASK[0]="255.255.255.0"
#USE_DHCP[0]=""
#DHCP_HOSTNAME[0]=""

## Example config information for wlan0. Uncomment the lines you need and fill
## in your info. (You may not need all of these for your wireless network)
#IFNAME[4]="wlan0"
#IPADDR[4]=""
#NETMASK[4]=""
#USE_DHCP[4]="yes"
#DHCP_HOSTNAME[4]="icculus-wireless"
#DHCP_KEEPRESOLV[4]="yes"
#DHCP_KEEPNTP[4]="yes"
#DHCP_KEEPGW[4]="yes"
#DHCP_IPADDR[4]=""
#WLAN_ESSID[4]=BARRIER05
#WLAN_MODE[4]=Managed
##WLAN_RATE[4]="54M auto"
##WLAN_CHANNEL[4]="auto"
##WLAN_KEY[4]="D5AD1F04ACF048EC2D0B1C80C7"
##WLAN_IWPRIV[4]="set AuthMode=WPAPSK | set EncrypType=TKIP | set WPAPSK=96389dc66eaf7e6efd5b5523ae43c7925ff4df2f8b7099495192d44a774fda16"
#WLAN_WPA[4]="wpa_supplicant"
#WLAN_WPADRIVER[4]="ndiswrapper"

## Some examples of additional network parameters that you can use.
## Config information for wlan0:
#IFNAME[4]="wlan0" # Use a different interface name instead of
# the default 'eth4'
#HWADDR[4]="00:01:23:45:67:89" # Overrule the card's hardware MAC address
#MTU[4]="" # The default MTU is 1500, but you might need
# 1360 when you use NAT'ed IPSec traffic.
#DHCP_KEEPRESOLV[4]="yes" # If you don't want /etc/resolv.conf overwritten
#DHCP_KEEPNTP[4]="yes" # If you don't want ntp.conf overwritten
#DHCP_KEEPGW[4]="yes" # If you don't want the DHCP server to change
# your default gateway
#DHCP_IPADDR[4]="" # Request a specific IP address from the DHCP
# server
#WLAN_ESSID[4]=DARKSTAR # Here, you can override _any_ parameter
# defined in rc.wireless.conf, by prepending
# 'WLAN_' to the parameter's name. Useful for
# those with multiple wireless interfaces.
#WLAN_IWPRIV[4]="set AuthMode=WPAPSK | set EncrypType=TKIP | set WPAPSK=thekey"
# Some drivers require a private ioctl to be
# set through the iwpriv command. If more than
# one is required, you can place them in the
# IWPRIV parameter (separated with the pipe (|)
# character, see the example).

In /etc/networks, try changing local net to "192.168.1.0" and let me know what happens. Right now, the localnet setting is pointing to the loopback address.

I checked my localnet setting and it points to 192.168.x.0.

You are missing the GATEWAY in /etc/rc.d/rc.inet1.conf. And check /etc/reslov.conf too - your resolver DNS servers should be there (sometimes its the same as the GW).

Another question is whether you use NetworkManager or not.