Statement 1 – Electric flux is the flow rate of electric field through a surface.
Statement 2: Electric field due to charges at rest is a time-varying field
1 is false 2 is false
Electric flux is not the flow-rate of anything it is just a measure of field lines crossing a surface and field lines are just some mathematical curves produced such that tangent at each point of the curve gives the direction of Electric field at that point.
As Electric field of a point charge at rest does not charge with time, it is a time – independent field.