If one way SSL is used (Server Certificate authentication) then data sent from client gets encrypted using Public key of the server certificate. So privacy protection is available for data sent from client. My questions are

1. Does this mean that in One way SSL data sent from Server to client is not encrypted and sent as plain text ?
2. For both server to client and client to server communications the data/message is not signed and so tamper protection or data integrity is not assured. Are there any other means to achieve data integrity while using SSL based transport security and not Message security options ?