Process of Elimination
There are many links in the chain from one location on the network to another. Try and rule out parts of the chain to help identify the issue.
From a client on the network to that wheezy server there would at least be
- client os
- client network card
- client cable (or wifi signal and wifi access point)
- at least 1 network switch, maybe more, each with at least 1 cable between
- wheezy's network cable
- wheezy's network card
- wheezy's OS
Since you seem to already suspect the issue is on the wheezy server, try plugging in another device instead of the wheezy server to the same network cable and see if it has the same issue. Then you should have a good idea of what side of that cable (or the cable itself) has an issue.
You could also boot the wheezy server from a linux live cd (doesn't have to be wheezy) to see if there's something wrong with the software it's running, or if it's hardware related.
Duplicate IP?
Another completely separate issue may be occurring, in that there may be a duplicate IP address on the network, and a whole lot of the packets are going to the wrong device. An easy to explain way to check for this would be to,
- try and ping the wheezy server IP address with the wheezy server powered off. If you get a response then you have a duplicate.
- If you didn't get a response, it may just be firewall blocked by the other device, look at the arp table of the thing running ping and check the MAC address for the wheezy IP, and if it has changed you have a duplicate.
Duplicate MAC?
In these days of virtualised servers it is also possible to have duplicate MAC addresses, which would also result in many dropped packets. This is harder to scan for, particularly if the device with the duplicate MAC address has a different IP address. If you have a managed switch you could look at its MAC table and see if the same MAC address is visible on multiple ports, or when unplugging the wheezy server, the MAC address changes port. Don't worry if multiple MACs are listed for a single port, as that is most likely just another switch connected to that port.