Originally Posted by
Storm301
Every IP address in that screenshot was initiated by your computer, so at least judging by what you have posted there it doesn't look like someone is trying to attack you. You could however have spyware on your computer that is initiating unwanted connections from your computer. If you're doing nothing else on your computer and constantly see new IP address popping up, then I'd lean towards spyware or a virus on your computer.
The black lines are dropped packets, that's pretty common, but it could possibly be a sign that your router is having issues. and needs to be replaced.