Open to LAN allows the server to be seen but not joined. Its not just the internet or just this computer I have tried multiple computers on various internets.
Here are links to people with the same issue:

http://forums.teamextrememc.com/index.php?/topic/25409-javanetconnectexceptionconnection-timed-outno-further-information/

http://www.minecraftforum.net/forums/support/unmodified-minecraft-client/1868373-java-net-connectexception-connection-timed-out-no

https://bugs.mojang.com/browse/MCL-2477

http://www.gamefaqs.com/boards/606524-minecraft/69445673

http://linustechtips.com/main/topic/97687-minecraft-error-javanetconnectexception-connection-timed-out-no-further-information/