How does Shop is Open work with search effects and draw effects?

If the Shop is Open (due to the action card or if any players deck runs out of cards), all cards face up in the shop are eligible to be selected when searched using cards like:

Pelpe Derdae (Hangar)

Telraga Usama (Crew)

Alligator Johnson (Level 1 Armor)

Shadow Recruiter (Crew)

Luxury Hangar (Expert Pilot)

PICK ability (selected armors)

Trinidad Lasersaw (Action)

The face up shop cards can also be selected from any draw effects, including end of turn and also quality for "Look at" effects like:

Engineer's Handbook (Look at the top 3 cards)