So when you load cydia, it refreshes repos, but a screen pops up with errors and has return to cydia at the bottom after it finishes reloading?
The errors indicate that one or more repos are unreachable. Ensure that the WiFi you are connected to isn't blocking any of the repos and that the repo isn't under maintenance. If neither are true, then that means the repo you are using no longer exists. Look for an updated url or just delete it altogether.