If I have an opponent's Pokemon Tool F card attached to my Pokemon-EX, does its effect stop working if I evolve into Togekiss with the "Bright Veil" ability and make it my Active Pokemon?
Bright Veil only affects the play of an Item. That means the act of playing it. If it is already in play, enabling Bright Veil has no impact on it. It will stay in play and keep doing what it is doing.
Source: TPCi Rules Team (2014-11-20)
If my opponent has Togekiss with the "Bright Veil" ability Active, does that prevent me from attaching Pokemon Tool F cards like Jamming Net or Head Ringer to their Pokemon?
No, Bright Veil does not prevent you from attaching the Pokemon Tool F card to your opponent.
Source: TPCi Rules Team (2014-11-20)
The wording of Jamming Net is now as follows, "The attacks of the Pokémon this card is attached to do 20 less damage to each of the opponent's Pokémon (before applying Weakness and Resistance). (Don't apply Weakness and Resistance for Benched Pokémon.)" This tool should only impact the Pokémon belonging to the opponent of the attacking Pokémon.
Source: TPCi Announcement (2014-11-18), TPCi Rules Team (2014-11-20)