Ignore my PM about needing your MAC and IP addresses. I deduced them from the packet dump
From what I can work out your machine is working perfectly, there is very little traffic your machine generates and it is completely normal.
However, their network has some potentially serious problems.
It would appear that two computers on the network have the same IP address (192.168.1.251) but different ethernet (MAC) addresses (00:06:25:25:34:cf - a Linksys router which reports itself correctly) and (00:0c:41:18:3a:3c - another Linksys product). It may be that the network is set up to use IP load sharing between two ethernet cards or it is misconfiigured.
I assume you have to connect to some Microsoft shared disks and/or printers because your laptop is emitting NetBIOS packets over TCP/IP. If this is not the case then I would disable NetBIOS going out of your machine.
There are a lot of people out there that call themselves network engineers but don't know a SYN packet from a HELO command (yes that is spelt correctly - check RFC-821 Section 3.5). I would ask you network guys to tell you exactly what packets they think you are emitting and then simultaneously capture your output with ethereal and repost.
I see nothing wrong here except maybe some hubris and the fact that they just can't handle a Sager!