Which aspects count as “attached to your character”?
- Any aspect you wrote on the character sheet as part of character creation
- any aspect due to consequences of stress or concession of conflict.
- any aspect you have created upon yourself in play (usually by the create advantage action)
- any aspect inflicted upon you in play (usually by the create advantage action)
Aspects attached elsewhere are not normally attached to your character. For example, one could see this post as an attempt to create "Knows the rules" and attaching it to Bradd Szonye... If I succeed, Bradd has that aspect attached. I don't.
Likewise, if I create the aspect "Smelly Room," it attaches to the location, not to me. Someone else could invoke the location's aspect in attempting to affix to me the "Smells bad" aspect.
Can the GM earn these fate points for the next scene?
No. See page 82 (emphasis mine):
The NPCs under your
control are not so lucky.
They have a limited pool of
fate points you get to use
on their behalf. Whenever
a scene starts, you get one
fate point for every PC
in that scene. You can use
these points on behalf of
any NPC you want, but
you can get more in that
scene if they take a compel, like PCs do.
You reset to your default total, one per PC, at the beginning of every
scene.
There are two exceptions:
You accepted a compel that effectively ended the last scene or starts the
next one. If that happens, take an extra fate point in the next scene.
You conceded a conflict to the PCs in the previous scene. If that happens,
take the fate points you’d normally get for the concession into the
next scene and add them to the default total.
If the immediate next scene doesn’t present a significant interaction with
NPCs, you can save these extra points until the next scene that does.
On a related but different "No"...
from page 81 (emphasis mine):
Have Your Aspects Invoked Against You: If someone pays a fate point
to invoke an aspect attached to your character, you gain their fate point
at the end of the scene. This includes advantages created on your character,
as well as consequences.
This confirms that non-compel invokes do not grant fate to the NPC Fate Pool.