Unfortunately, I have the exact same very frustrating issue that is being described.
When trying to play on Tranquility, I’m receiving the exact same described error message(s) and I always get quickly disconnected shortly after my ship appears in the station where I’m docked. I sometimes get disconnected within mere seconds of appearing in my docked ship but usually the disconnection happens within a minute or two. A few times I have actually been able to play the game for perhaps 3 or 4 minutes or so before being booted off. Sometimes the game doesn’t actually start since I’m disconnected within seconds after the character selection screen appears and I select the character that I want to play. I have literally kept logging on over and over again probably over 50 times in the last 24 hours in order to perhaps help force a resolution of this issue and also to be able to, with sheer persistence, slowly do a few buying/selling types of things that I really need to get done without further delay in the game. Once I have safely sold the things that I need to sell and done a few other small things in the game that I really should do, I anticipate that I probably shouldn’t bother to play this game any more until this problem is fixed. Unfortunately, I recently resubscribed as an Omega for a full year in advance so if this problem is never fixed for me I will lose a very substantial amount of money that I have already paid to play a game that is now completely unplayable for me.
The problem first started about 8pm Mountain Standard Time, USA, yesterday on the 21st of January 2021, which is currently about 24 hours ago. Other websites and other games that I play on the internet seem to work fine and my internet connection seems normal in every way. However, I’m not an expert in diagnosing or fixing internet connectivity issues.
The next step that I definitely need to do is contact Eve Customer Support since it appears that this is probably not a huge issue suddenly affecting many thousands of players at once. When the hard working people at Eve eventually become aware that this is a real situation affecting real customers and real people, I’m sure that they will try to issue a fix. Until then, life in the Eve Universe will have to go on without me (which will be very hard to bear but I’ll surely survive)