Yup Shields up is a good firewall tester. Responding to ping requests isn't usually a problem unless you get some kind of DOS attack. For a personal web server that's rare.
Name:
auth / ident
Purpose:
Authentication Service / Identification Protocol
Description:
Auth/Ident servers — which are supposed to run on the local user's machine — open port 113 and listen for incoming connections and queries from remote machines. These querying machines provide a local and remote "port pair" describing some other already-existing connection between the machines. The user's "ident" server is tasked with looking up and returning the connection's "USER ID" and perhaps additional information, such as an eMail address, full name, or whatever.
Ident services are sometimes used with services like smtp.
Port 80 is your web server (unless you've changed it) and needs to be open to host a web site. Port 443 is you https or secure web server port and needs to be open for secure web sites. If you're running webmail in secure mode (that's the only way I'd run it) then you need 443 open for that.
Looks like you've got a standard off the shelf SME server. Nothing to worry about.
Don't forget that the Shields Up test is assuming that you have a workstation connected to the internet and not a server. It's warrnings are based mostly around a Windoz type setup. What would be dangours to leave open on a Windoz machine isn't quite the same thing on a Linux Server. If you've got a Windoz machine hooked directly to the internet and you get any warnings from Shields Up you should read and follow all the directions listed to fix it.