A few noobish Questions
1) Sigils are only effective if they are on your main weapon set. However, effects created by sigils such as precision and corruption, that grant stat bonuses, are effective until your character becomes defeated, re-zones, or unequips the weapon.
2) Tabbing is a horrible way to target, even on the fastest computer. I personally know no easy solution to your problem.
3) Probably.
Isn’t tabbing the “target nearest enemy” key? I have that mapped to a mouse button. It’s not a horrible way to target. If you need to select someone specific then just click on them otherwise I just target nearest enemy. It’s fast and it works. However, I’m not sure about your WvW situation, I’m just speaking in general.
Sigil stacks drop when you’re downed, not defeated.
The wvw invisibility thing is a problem with the game that they are working on improving. Don’t think there’s anything you can do.