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You can setup a syslog server to monitor your Asa events (including logins). it will take some filtering to avoid scrolling through extensive logs but it will work
Yes it is, DHCP will give out your 30 addresses internally, but will only allow a maximum of 10 NAT/PAT translations simultaneously to the Internet. To prevent the non-Internet nodes from accidentally soaking up your allowed connections, you may wan...
You don't need a vlan interface to have a working vlan, I think that is your concern. You are looking at the vlan1 interface which is shut down, but the vlan 20 is still valid.