Is Self Belaying Safe?

It's safe-ish, but Petzl no longer recommends the use of Grigris as a self belay device. Here's the good word Not for beginners, and not the safest practice, but not the worst either.

Is belaying dangerous?

Belaying errors, regardless of the device used, can lead to a freefall. For your first climb you should be sure to get instructions from a certified instructor.

Are auto belays safe?

This device physically blocks the start of the climbing routes, demanding interaction before one starts climbing. Aside from user error, the auto belays used in most climbing facilities today are exceedingly safe.