PUBG should run pretty well at modest settings, just don't push textures too high to avoid filling the 3GB VRAM, as on Ultra textures i hit around 4-5GB VRAM usage myself and it can result in FPS drops and stutters if you hit the maximum, stick to maybe Medium textures to be safe, but you should handle Medium-High settings across the board at a good frame rate, particularly as the game get's further performance patches which have been getting better. You can see some gameplay from someone with the same CPU and GPU as you are looking at here > https://www.youtube.com/watch?v=jmn9ayexLAM. Performance looks pretty good.
VR it depends... Some VR games aren't too hard to run compared to normal modern games but due to the resolution, you might have some trouble with some more visually demanding VR titles. They would run no problem, but a lot of VR titles suggest reasonably high stable frame rates to avoid nausea and such which might be difficult to maintain in some harder titles.