What model Linksys wired router?
Where does the WAN port on the DI-524 go to?
What model D-Link wireless bridge(s)?
Naw. Your default route on the network #2 workstations has to point to router #1 (192.168.1.1). My guess(tm), is that you still have the DHCP server in the DI-524 running on Network #2. It's giving bogus gateway addresses to the workstations on Network #2.
I suggest you remove the DI-524 completely. Use the unspecified model D-Link trasnparent bridge(s) as they were intended to be used. Since it's a bridge, not a router, the bridges know NOTHING about IP addresses and such. Just make sure that broadcast traffic is enabled to pass across the bridge. If not, then the computahs on Network #2 cannot get IP addresses from the unspecified model Linksys router DHCP server on Network #1.