Braided Net's activated ability can target another nonland permanent that's already tapped.

No activated abilities of the target nonland permanent can be activated for as long as it remains tapped, even if those activated abilities' costs involve untapping that permanent.

Once Braided Quipu is back in your library, Braided Net will be the face that's up again.

After drawing cards for Braided Quipu's ability, if you have two or fewer cards in your library, you'll put Braided Quipu on the bottom of your library.

The back faces of some cards with craft refer to cards "used to craft" it. This refers to the cards exiled as part of the cost of the craft ability of the front face. Those cards are considered to be "used to craft" that permanent as long as they remain exiled and the permanent remains on the battlefield, even if the permanent's controller changes or some of its characteristics change (because of a copy effect, for example.)

If the materials required include multiple objects, you may exile some of them from among permanents you control and the rest from among cards in your graveyard. You don't have to choose all permanents or all cards from your graveyard.

You may exile tokens you control as part of the materials required. However, because they aren't cards and won't stay in exile, any abilities that refer to what you "used to craft" the back faces won't refer to anything.

If a card that isn't a transforming double-faced card becomes a copy of a card with craft, it'll stay in exile if you activate the craft ability. It won't return to the battlefield.