Yes, that suggests that there's either a poor connection between the computer and the Speedstream or that's jammed up.
If you haven't already I'd first check TCP/IP Properties.
Start, Connect To, Connection, Properties, Scroll Down TCP/IP and highlight, click Properties and check that Obtain DNS and IP address automatically are enabled.
Then see if you can find a full manual for the Speedstream and use the reset button on it.
Frankly rather than mess with a separate modem and router -- if the Speedstream is broken, I'd buy an integrated modem/wireless router.