Ok the first one is not the working connection, no default gateway and the IP is just default when there isn't one assigned, and the second connection is working.
Does this modem have more than one LAN port?
With most modems using more than one machine you need a router or you need to use ICS "internet connection sharing".
Most modems only have a single LAN port, maybe yours is different or maybe it's one wireless connection and one wired?