Sorry, I had to leave the PC and can not answer your question sooner but ESPclipse got that covered anyway

The tearings are always there without GSync but not noticeable on 144Hz monitor.
Some people said that there is no tearing on 144Hz or you can avoid tearing by using 144Hz monitor. Well, that is not entirely true.
Yes, even if the monitor is running faster than than the GPU, the tearing is always there.
The faster the monitor runs the less noticeable tearing you can see.
On 144Hz monitor, you can see like no tearing.
Yes, VSync might cause stutters if the fps falls below the monitors frequency.
On 144Hz monitor, you might as well disable VSync. The tearings are not noticeable anyway.
If you use 60Hz monitor, yes, try to push the fps as high as you can, if you have fps higher than the refresh rate, you can activate VSync and you will see no stutters. You can even try to combine VSync with tripple buffering.
GSync is the ultimate solution but at the moment the price is too premium. Moving from unnoticeable tearing to no tearing is nice but with such price? well, like mentioned. It can not fully justify the premium cost unless you can really afford it. Do not force yourself to get GSync. A good 60Hz or 144Hz monitor will do just fine.
To put it short, GSync does not really worth the money today only nice to have, unless you want it real bad and can afford it.