Help needed for outdoor stereo with no electricity

We have a family lake picnic pavilion about 2 miles from the nearest power pole. I'm no electrical engineer and could use some help.

-for power I have
Sealed Deep-Cycle Interstate battery
12V 33AH
@20 hour rate to 1.75VPC and 77deg. Farenheit


-to convert to AC I have a 300 watt DC to AC power inverter
it has two AC outlets

-for a source I plan to use my Apple Ipod
it is powered by its own battery

I would like to use a standard 30 watt/ channel stereo receiver to power some box speakers.

Will this work?
Could it play for 3 or 4 hours at normal listening levels?