Update: We used the [Exit Area] button to exit the flashpoint. Then we tried entering it again but we were immediately kicked back at the entrance right after we enter it.
So we both chose to "Abandon" Taral V. Then we got the Flashpoint mission from the droid. But the same problem still persists, as soon as we enter the Flashpoint, we're both teleported back at the entrance.
Note: We are on the Red Eclipse server.