Orbit the nucleus at the same angular velocity and do electrons wheter in or not in the same orbit interact with each other?

Electrons have differing angular momentum depending on which orbital they are in (s, p, d, or f orbitals). Electron orbits aren't really "orbits" like planets about the sun, but rather are wave functions that describe the probability of an electron being in a particular position. The shape and energy levels ofteh orbitals epend on the number of electrons in the atom. The Pauli exclusion principle states that no two electrons can have the same set of shell, orbital, and spin numbers - for example the presence of two electrons (with opposite spin) in the 1S orbital precludes any others from occupying that same orbital. Thus in a sense electrons do influence each other, analogous to how molecules of gas in a container influence each other since no two can occupy the same place at he same time.

Electrons have differing angular momentum depending on which orbital they are in (s, p, d, or f orbitals). Electron orbits aren't really "orbits" like planets about the sun, but rather are wave functions that describe the probability of an electron being in a particular position. The shape and energy levels ofteh orbitals epend on the number of electrons in the atom. The Pauli exclusion principle states that no two electrons can have the same set of shell, orbital, and spin numbers - for example the presence of two electrons (with opposite spin) in the 1S orbital precludes any others from occupying that same orbital. Thus in a sense electrons do influence each other, analogous to how molecules of gas in a container influence each other since no two can occupy the same place at he respect Paulisame time.
With respect to Pauli, How is there more than two electrons in the same orbit since electrons have only to spins (up or down)?

Each orbital can contain two electrons at most, differentiated by spin (up and down). I'm afraid my terminology in my previous post was a bit confused - the proper term for the s, p d, and f is sub-shell, not orbital, There may be multiple orbitals within a sub-shell:.

The s subshell has one orbital, hence it may have up to two electrons
The p subshell has 3 three orbitals, hence it may have up to 6 electrons
The d subshell has 5 orbitals, hence may have up to 10 electrons
The f subshell has 7 orbitals, hence may have up to 14 electrons

Hope this helps clarify things.