What are limitations of Kirchhoff laws in presence of A..C current.what are the bounds on its application in such case?
Kirchhoff's laws are applicable if the lumped element model of your circuit is valid, i.e. if you can assume that \$\frac{\partial B}{\partial t}\$ and \$\frac{\partial q}{\partial t}\$ are zero or neglectible outside all of your circuit elements (they may be non-zero inside the lumped elements like inductors or capacitors).

Kirchhoffs's laws are not valid, e.g. if you have to consider induction in one of your circuit loops or displacement currents into/out of your circuit nodes.
This is the case e.g. in antennas (as Ignacio pointed out) or inside parts of  some lumped circuit elements (inductors, capacitors).