Back to My Mac: BTMM kMMServiceFailureNotification
In response to your question "Is there any solution?": Yes

Initial Feedback: I appear to have the same problem, which appeared out of the blue and which I noticed only on around 13 Jan (4 days prior). It appeared to have occurred at the same time as the last in a 3-4 week series of occasional spurious iCloud ID errors, requiring me to enter my iCloud password on each occasion. Back to my Mac is not accessible on any of the 3 macs using my personal account.

I spent 90 minutes on the phone with Apple Support. The problem could not be resolved immediately and was escalated to the level of the engineering staff for offline investigation.

Update: 3 days later BTMM was working correctly on all my machines, having been fixed at the Apple end. No explanation as yet as to the cause or how resolved. I recommend you contact Apple Support directly