The starting chest gives special chests that can be researched using only red and green science. They are smaller in size than the regular ones, but work the same way and appear strongly at the beginning of the game
Regarding the expansion - repair turrets act as charging drones. They don't allow you to place drones inside them, but they can charge one drone at a time. These turrets also become available early on through green and red science.
Regarding resources - I personally tested in different biomes and only in the desert I had problems. In other cases, the available resources were enough to build a starting base and start using drones and the existing collector to produce science packs
you are given tech in the storage boxes that you can not use in your action bars until you research them
Can you attach screenshots/video of the problem? Starter chests should always work and should be able to be added to the hotbar without problems