A:AnswerAutomatically saves the recording. I have never had the battery run out in the middle of the recording so I cannot be 100% on that part of your question.
A:AnswerAbsolutely. Depending on your state or countries laws you can record phone conversations. Some allow recording as long as one party is a participant in the recording. Some only allow recording if both parties give consent.
A:AnswerOn this device, no. You can use 3rd party conversion software you might be able to.
Dictation software or possibly an app for your Android or IOS device.