Omnipro network issues

Ok, those pins may look solid, but if that jack can move that much, I'm betting the solder joints on the back of that board are in really bad shape. @RobinsonNi and others would be able to confirm that. It may be as 'simple' as resoldering those joints as previously suggested. At this point, I would take the board out to take a closer look at this.

Looking at the packet capture, I don't see any major issues, besides the fact that your PC is only getting some, not all responses back. This usually means it's a layer 1 issue.