Explanation

The word in the first blank gives a false impression about Howard’s underlying gregariousness, so you need something that suggests he isn’t sociable; hence, silences is the best choice. Since Howard is, underneath it all, gregarious, new acquaintances who think him churlish are incorrect, so falsely is the best fit.

Hence options B and D are correct!
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is this sentence a valid one ? how can be false perceive?
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churlish means indeed rude. This opinion is false, they have this impression of him at glance but indeed it is not.

False is the right fit for the second blank.

Regards
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thanks

Should have written it 'falsely' instead of false to make sense in the example

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