Sounds like a configuration problem with the set up on the LinkSys BEFSR41. Let's see if I understand. Cable modem to the input on the LinkSys. PC's to ports 1,2 & 3 on the LinkSys. Port 4 of the LinkSys to the Netgear WGT624's input and PC's to ports 1 & 2 only on the Netgear.
You said the 2 PC's on the Netgear were talking to each other but not to the other 3 on the LinkSys. Are the 3 on the LinkSys able to talk to each other? Can they see the 2 on the Netgear?
The way I understand it (and I'm not an expert), your LinkSys is the key router. It has to recognize ALL devices on the LAN by IP address to establish the interconnect with the Internet. Since you probably only have one IP address assigned by your cable ISP, then the LinkSys should use Network Address Translation (NAT). Somewhere along the way, you should have had to configure the LinkSys. To do that you would have needed the IP address assigned to you by your ISP and then use it to establish your LAN. You would probably have programmed the router to use DHCP and to act as the DHCP server for your LAN. Then it would automatically obtain IP addresses from all the devices on your LAN (including printers). The LinkSys router is set to default to DHCP. That means if the other router is the same (automatic default to DHCP) there will be a conflict and the Netgear router would have to be programmed to be disabled as a DHCP server.
You should have gotten some sort of CD-ROM which would be used to set up and configure the LinkSys. You should use it. Most LinkSys stuff I've seen uses a "Set-Up Wizard" which makes it pretty easy to understand and use. You'll also have to go into each PC individually and configure their Network settings to obtain their IP addresses automatically from the LinkSys DHCP. I think you'll have to do that also with the Netgear router (it will get an IP from the LinkSys). Your ISP will give you the settings to configure the LinkSys.
The initial hook up and power up sequence is also important. Basically, you turn off everything. Then hook up the LAN (cable modem to the LinkSys, PC's to ports 1-3, port 4 to the Netgear, PC's to ports 1-2 of the Netgear. Then you turn on:
1- the cable modem
2- the LinkSys
3- all the devices (PC's, printers, and the Netgear)
For the LinkSys BEFSR41, you should have set up instructions in Chapter 5 of the instruction manual that came with the router. Follow that & you should be OK unless you have a hardware problem.