Q1: 1.True
2.True - boiling point varies with composition. (Apply the phase rule, 1 degree of freedom if pressure is fixed.) A mixture of given composition will have a particular b.p., but as it boils the liquid will become richer in the less volatile component and the b.p. will rise.
3. True
4. False - not mixtures that form azeotropes. If 5 is true, 4 must be false.
5. True
Q2: Yes, but not too much, or A and B would be immiscible.
(i) Yes, it will be the azeotrope.
(ii) Azeotrope will distil off and pure A will be left in the flask. You can't get pure B from this experiment. (You could get it by distilling a mixture richer in B than the azeotrope.)