Yes. The first description is correct.
– In some realms, all five khandhas do not arise. For example, the asañña realm.
The second description on jati is correct too.
– Everything in this world is a sankhata, arising via Paticca Samuppada. They all arise and are destroyed after being in existence for variable times. Somethings like stars last for billions of years and cittas last for a billionth of a second.
– See, “Jātidhammādi Sutta Dasaka (SN 35.33–42)”
– There are ten small suttas, thus, “dasaka“.