Questions for an EFF type

If Twitter bans me (or anyone)

Does it have the right to prevent me (or anyone) from opening another account, verified or not?

More interestingly, does it have the right to prevent ANYONE else from ever allowing me (or anyone) to use his or her account to tweet, even a single time? In other words, can Twitter say that only a single account-holder can ever use an existing account?

I’m not seeing that in their TOS, but would be interested to know what lawyers think.