In the subway, go through the train in the middle area and use Charge Transfer on the charged device to charge the divice at the subway entrance.
Open the gate to the Lich (Story related) but don't go through. Shoot the box with the Dimensions Device in it. Then you can use the device to make the pattern: Center Blue, Left Red, Right Green. Now you can get the Minikit in the cup.
The Rescue is also in the subway. The ability you need to do the Rescue is "Magic Portals" which is not available yet. But hopefully sometime after Wave 7. I will publish it asap and link it here.