1) In first case, both the objects(hand & tea) are in direct contact, so heat will flow by the process of "Conduction"
2) In this case, objects are not in direct contact, and heat is transferring from one to another by "Convection"
3) Here, there is no contact between the objects (our body & sun), sun light with heat comes through the process of "Radiation"
In short, Your Answers would be:
1) Conduction
2) Convection
3) Radiation
Hope this helps!