excited state in equilibrium?

(i and ii) Yes, they are not same.

 

The term physical state means the current phase of an element or compound : solid, liquid, gas, plasma (very hot), or Bose-Einstein condensate (very cold).

A thermodynamic state is a set of values of properties of a thermodynamic system that must be specified to reproduce the system. The individual parameters are known as state variables, state parameters or thermodynamic variables.

 

(iii) Yes. An excited state of a system is any quantum state of the system that has a higher energy than the ground state (that is, more energy than the absolute minimum). 

 

(iv) No equilibrium is not lost during excieted state.