I have been having this exact problem. It just started today for me February 21st.
i did the above exactly and it did reinstall the client. It would be good to note also that swtor is dropping in and out of supposed internet connection. But that is not the case, in fact I am losing no connection whatsoever and it is telling be the connection is lost.
This did not fix my problem either. After re installing the client I am having the exact same problem.
I can easily get to the character selection screen but after it loads and I enter in, all activity except my toon is frozen. Chat does not work, i can open windows like invintory but cannot r/e or do anything with them.
Shortly after that i get booted to the server selection screen.
What exactly is going on here?
I'm having the exact same problem!
Their fix doesn't work at all!