Is it Possible for Planetary Bodies To Exist In Close Proximity Without Adverse Effects?
Quick calculation of Roche limit for two identical earthlike (fluid) bodies.
Roche distance is about equal to 2.44 X radius X(density1/density2)^1/3.
For identical bodies the density conveniently cancels, so we get
Rd = 2.44 X radius.
Earth radius is 6378 km.
So Rd = 2.44 X 6378 = 15500 km (center to center).
The distance surface to surface (15500- 6378) is 9184km.

At that distance, by trigonometry, another earth would subtend about 44° of sky, pretty big!, and just at the bleeding edge of stability.

The nearest planet in the provided picture looks like it might be at about that distance. Evacuation might be in order as the other three planets or moons will degrade the close binary's orbital stability.