Milk tends to have sugar in it, so you could run into issues with the sugar crystalizing on thing. I had milk spilled on to my laptop by a child. I just used isopropyl alcohol to clean it up with a cue tip and it worked fine for me.
When ever I try to shutdown my laptop, it get stuck at the blue screen with the shut down screen but nothing happens, I have to hold the power key down till it turns off. I'm not sure what could be causing this issue.
Is there a wireless connection when you go to Control Panel --> Network and Sharing --> Network Connections, there is a quick link on the upper left that reads "Change Adapter Settings"