Not sure how we can fix your connection problems
. I did not experience the NOC problem you mentioned.
I don't experience those problems on other sites, or for instance on the community.postnuke. And I only experience these problems when connecting through the telkom sa network. So it seems there is some mechanism in place destroying sessions when connecting from this network (perhaps Askimet or something similar). But there is not that big a choice in Africa ;).
For trac you have to login for each project separately right now, the cookies are not shared. This problem is known.
It's not that. I log in, and I'm immediately logged out. If I log in from another network it seems I stay logged in also when connecting from the telkom sa network. It seems during login, when a session gets created, some kind of validation takes place which fails. Once the session was successfully created it stays valid ...