'She looked at me with a smug expression on her face' What does smug mean in this sentence?

What is the past tense of this sentence - He lies on the floor and lays an egg.

What does this mean: 'Hair shorn in strange styles.'

What does 'virtually' mean in this sentence - 'The subscription was virtually free.'

What is correct?

The government job was taxing. (What d​​​​oes taxing ​​​​mean)

Just few months back, he was languishing in obscurity. (What does obscurity mean?)

The verisimilitude in the story was uncanny. (Verisimilitude means?)

He indulged in the sin of ignorance. ('Indulge in' means?)

His statements were seemingly vague, but profound. (Profound means?)