No, the shuffle dock/charger is connected up to the shuffles ear phones. With the Ipod Touch, you charge/dock connect through an USB Ipod Touch dock connector, the part you plug into the Ipod is not...
yes
an Ipod shuffle will definitely connect an Ipod Shuffle charger.
Make sure your wall charger is Apple approved. Some wall chargers do not charge the iPod Touch since it was not tested or made to charge an iPod.
put on ur music and don't play it... wait like 10 minutes and it'll have .5 battery life back... i do it all the time