Why did Congress decide the election of 1800 select all that apply?

1) The Electoral College failed to produce a clear winner in the election.

2) There was a tie between the Democratic-Republican candidates Thomas Jefferson and Aaron Burr.
3) The Federalist-controlled House of Representatives needed to determine the winner.
4) Alexander Hamilton influenced the outcome by endorsing Thomas Jefferson over Aaron Burr.
5) Congress feared potential unrest if there were no resolution to the election.