The authors study stability and well-posedness of parametric vector quasi-equilibrium problems. Weak continuity of orders not greater than one around a given point, in the sense of Holder calmness of such orders, of solution maps is under consideration. Namely, the authors consider stability in terms of Holder calmness of solution maps at the considered point of parameter. Sufficient conditions for such Holder calmness are established for weak and strong vector quasi-equilibrium problems. When applied to the particular case of scalar equilibrium problems, the results recover recent ones appearing online first in the literature. Then the authors propose a Holder well-posedness notion for parametric vector quasi-equilibrium problems, based on Holder calmness of approximate solution maps, and derive sufficient conditions for Holder well-posedness of both the mentioned weak and strong vector quasi-equilibrium problems.