Maybe some thoughts I have will help, although I have not experience with bluetooth or the other service you are trying to use.
You did not say which browser you are using, so it would be good to post that. My guess is that your browser is looking on a different tty than the one that the connection to the Mac is set up for. What I am not sure of is how you figure that out unless you either see the tty name in "ps ax" or run strace to start your browser and examine the output of that.
For seeing the tty for your Mac connection, I would think "ps ax" would give you that unless you are running an inferior busybox version of ps.
More about ps versions here:
http://sdjf.esmartdesign.com/commands/ps.htmlAlso, another way to go would be to set up ssh to your Mac and then run a VNC client on your Zaurus. Or just ssh in to the Mac and use a text browser.