Identify the main source of conflict, as well as two other instances of conflict in the story

The main source of conflict is Hamlet avenging his father's murder at the hands of his uncle. There is internal conflict within Hamlet about his own lack of action. Hamlet also has it out for mother and women in general.

"But I am pigeon-livered and lack gall." Act 2 scene 2

"Frailty, thy name is woman!" Act 1 scene 2