Can’t recover mac

I left my MacBook Air on overnight by accident. It was plugged in and running the Sims 4. The next morning I went to restart it and it wouldn’t boot. There was a flashing folder with a question mark. I troubleshooted until I got it to do the internet recovery. Went through that whole process and tried to do time machine. Nothing. Tried to Reinstall OS X Mavericks. No disk to install it. Went to disk recovery and it won’t let me do anything. Attached are pics that may be relevant.