I've used brass brushes for decades. No issues.
I only recently started using a jag and only on the pistols. Seems to do okay. You can get plastic jags on line or at guns/sports stores that sell cleaning equipment.
Two hundred rounds is basically brand new. Should not be a recoil spring issue. Should not be a hammer spring issue (failure to fire in SA or DA).
Often, here, people will say it takes around 500 rounds to break in some CZs. I've not had that issue but I understand it can happen.
Where the rounds hard to remove from the barrel? If so it could mean those two rounds were a bit "long" and the bullet made contact with the barrel metal near the start of the rifling and therefore didn't fully chamber. If that happened it could be that the hammer just didn't hit the primer hard enough to set it off. Some CZ pistols have a geometry/fit of the parts that means the hammer just can't hit that firing pin very hard unless the slide is completely forward.
Could be an issue, too, where the brass and chamber rubbed/dragged enough to keep it from completely chambering the round. Sometimes it doesn't take much, between lubrication, how clean the gun is, parts of the pistol still not broken in well (contact surfaces worn smooth together through dry firing, firing or polishing of the parts contact surfaces.
Wobbly has a bunch of good diagrams showing some of the problems with cartridges/bullets that can cause a pistol to fail to fully chamber a round.
One other thing is your magazines. Is this happening with both magazines (I know, only twice in 200 rounds) but it's something you need to be aware of is that magazines can be an issue. A lot of people ID/number their magazines so if they have repeating issues they can determine if it happens with all of them or only one of them. If it only happens with one magazine that one needs to be pulled from use and replaced. Sometimes you can "fix" that problem magazine with a good cleaning, a new spring, replacing the follower. Sometimes it's something about the feed lips at the top and you have to make a choice of discarding that magazine or trying to modify it to make it work.
Good luck with it.
The question about how much of the brass is normal to see is in this picture. My P07 .40. If you look you can barely see a thin slice of the shiny brass rim between the back of the barrel and the slide. More than that and the slide is not fully forward.
