Can't help with the amp and speakers, but as for plugging in to the house, YES, your battery should be charging. If you are using a 30 amp to 15 (standard) house adapter, DO NOT try to run the Air Conditioner. The microwave might work, but the AAC will probably trip a breaker.
As for the speakers, plugs will be on the door side, so you can sit under the awning and listen to them, maybe?
2012 Ford F250 ext. Cab 4x4
2002 Jeep Wrangler Sahara
2008 Yamaha V-Star 650 Classic
2008 Work and Play 18LT