1- Is it true that each BSD distribution has its own kernel?
A BSD nowadays isn't a distribution, but a whole OS. There's typically a distribution of 3rd-party software attached, built from the "ports" tree, but that's something different. The D in BSD is "historic", BSD started as a distribution of modifications and extensions to AT&T Unix, but gradually replaced all components until it became a complete OS itself.
So, yes, every BSD OS also has its own kernel, although their development can be traced back to what was done at University of Berkeley. Nevertheless there
are "(re-)distributions" of BSD systems, e.g. GhostBSD is a distribution of FreeBSD and therefore includes the FreeBSD kernel.
2- Can you briefly tell me the performance of each of the following distributions in order?
- FreeBSD
- NetBSD
- OpenBSD
- DragonFly BSD
- hello
"Performance" isn't a well-defined measurable thing, so this is completely impossible. It
at least requires a specific scenario of what should be done. Any attempt to say something about "general" performance is subjective because it will assume a specific mix of use cases (and also depend on other things when trying to measure like the hardware itself or specific drivers used). All I can tell you here is that performance considerations are typically more in focus for FreeBSD than for NetBSD (aiming for portability) and OpenBSD (aiming for security), and I can only guess it's somewhat similar for dfly. "hello" is just a distribution of FreeBSD, so nothing to say here. And again, this doesn't mean that e.g. OpenBSD can't perform better for a specific task than FreeBSD. You'll certainly find examples.
3- I know there are distributions that mix BSD and Linux. Which ones are active?
This is technically impossible as well. "Linux" is just a kernel, and the userland of a BSD OS certainly won't run with Linux. Some BSD tools can run of course (like OpenSSH, which is developed as a part of OpenBSD, and is still used by almost every Linux distribution). There was a port of Debian using FreeBSD's kernel, which required porting the GNU userland to this kernel ... it's typically used as the userland parts for a Linux system. But then, the result had nothing to do with Linux any more, and was consequently named "GNU/kFreeBSD". AFAIK, this project is dead, and I'm not aware of any projects actively developing something similar at the moment.