Pedantically speaking, yes. At least some small moons do freely rotate. But they are all very small and very far from their parent planet. If you were on the surface, you wouldn't see details.
Mars has two small moons close to it, but neither rotate relative to the surface. They're also really small and zip about super fast so they're cool for other reasons.
I was skeptical thank you for the confirmation. Especially because the time it takes to lock depends on the relative size of the bodies. Our moon being exceptionally big relatively to our planet, if it has locked, then relatively smaller moons should have locked long before.
Btw, the locking is not perfect, there's a little oscillation of the moon called libration, so we can actually see about 59% of it over the years.
It's tidally locked to earth. Earth isn't tidally locked to it. Happens slowly due to gravity and differential mass. Relatively stable satellites end up tidally locked given the time. Pretty sure lack of water/liquids/atmosphere hastens the process.
It's the heaviest part of the moon which face us. And even when it will reach it's farthest and definitive orbit ( the moon slowly move away from us), it will still the same face toward us.