Yes you can, you need an acess point for both systems
LAN means Local Area Network meaning you have a party on your xbox/ps3 which means that the "LAN" party are local players on the same xbox/ps3
No the PSN is down world wide
Yes
In my opinion Xbox live is better because you can party chat and it has less lag, more people use it, It is more organized and it gives more then the psn. psn is laggy
Yes, rumors are that PSN will be back online May 31 Source: Sony
bomb in city
The Online Gamer - 2009 PSN Down 2-4 was released on: USA: 17 May 2011
Because PSN is down.
all you have to do is go to multiplayer and select lan party.you can join one or create one
The related question has more information and links to the sources of the information
The site is down worldwide see related question