I have a Draytek Vigor 2830n.  It's kicking out a 192.168.3.0 LAN.  It performs load-balancing across dual-WAN ports, although I've turned off the second WAN to simplify testing.  There are many hosts on the LAN.  All IPs are allocated through DHCP, most freely allocated from the pool, but one or two are bound to NIC MAC addresses.
All hosts can access the Internet, save one.  That host (192.168.3.100 or 'dot100' for short) gets allocated an IP address (and the right gateway address, DNS server addresses, subnet etc.)  dot100 can ping itself.  It can ping the gateway, and access the latter's web interface  via port 80.  It's responsive and loss-free (sustained ping over a couple of minutes reports no data loss).  Yet, for some reason that evades me, dot100 can't ping an external IP address or domain name.  I suspect it's never been able to, because it was getting some Internet access from a second adaptor (different subnet), but that's now been turned off, which exposed the problem.
In dot100, I've tried:
two operating systems (Windows 8 and Knoppix), to rule out anti-virus programs etc.
two physical adaptors
two cables, on each adaptor
two IPs (e.g. .100 and .103 assigned by Mac and .26 from the pool)
both dynamic and assigned (MAC-bound) DHCP-allocated IPs
but none of this experiments yielded any variation in the result.  dot100 is a crucial host.  It's a file server for the network, so I need it to be reliably allocated a consistent IP.  Can anyone offer a potential solution or a way forward with the analysis please?
My guess
My analysis so far leads me to believe it's a router issue.  I've checked the web interface very carefully.  There are no filters setup in Firewall - General Setup or Filter Setup.  I suspect it's a corrupted internal routing table, but the web UI shows this as the Routing table:
Key: C - connected, S - static, R - RIP, * - default, ~ - private
*            0.0.0.0/ 0.0.0.0          via 62.XX.XX.X        WAN1
*         62.XX.XX.X/ 255.255.255.255  via 62.XX.XX.X        WAN1
S      82.YY.YYY.YYY/ 255.255.255.255  via 82.YY.YYY.YYY     WAN1
C        192.168.1.0/ 255.255.255.0    directly connected    WAN2
C~       192.168.3.0/ 255.255.255.0    directly connected    LAN2