What work can one never finish?

Vin Diesel is pulling a theft and has planned to run away with all the cash kept in the safe. But the only way to open the safe is the 13 character password. He has a set of five clues given to him by a trustworthy source.

Exactly two of the below statements are false.
The password is contained within this sentence.
The password is not in this hint.
The password is within only one of these statements.
At least one of the above statements is a lie.

I am looking for a word that change both gender and number when i add the letter 'S'.

What Word am I Looking For ?

What is common among 11, 69, and 88?

How can a man go eight days without sleep?

How many triangles are there in the picture below?

Which letter of the alphabet has the most water?

There's one "sport" in which neither the spectators nor the participants know the score or the leader until the contest ends.

What is it?

what does this below rebus represent identXQQQQQME

The following four words might seem abrupt to you. But you can make them meaningful by just adding vowels.
RDSH
GGPLNT
TMT
NN

Hint: All of them are vegetables.