Reommendation please: backup software/script that can be scheduled and encrypts

As per title really. I need a backup solution for backing up my home directory to an external USB drive that;

1. I can schedule to run x times per week
2. Encrypts the contents (into an encrypted zip file is fine)
3. Puts the encrypted backup onto an external USB drive
4. Keeps the last x amount of backups.

I've found loads that can do one or more of these things but not all of them. I really like LuckyBackup for example but it doesn't encrypt. I just want something I can set and forget.

System is LMDE 6 (Faye).