Your daughter has lovely features.
He has the caliber to be a leader.
That job is beyond his capability.
He lost face because of that failure.
He did his best to maintain his dignity.
器量 overlaps with 器 in meaning 'personal caliber' but also commonly refers to looks or appearance, a sense 器 lacks.
器量 refers to one's looks or personal merit/character (and can mean facial appearance), whereas 力量 specifically means competence or capability; the words sound alike but differ in meaning.
ugly; plain; unattractive · lacking ability; incompetent
person of ability; talented individual
good looks; pretty woman; good-looking woman
love of good looks; attraction to beautiful women
being too beautiful or talented for one's own good; suffering because of one's good looks or ability
Standard kanji spelling for all senses; used in news and common writing.
Rare kanji form for the 'looks' sense; not commonly used.
Originally from Chinese 器量 (qìliàng), meaning 'capacity' or 'tolerance'. In Japanese, the meaning extended to include 'facial features' and 'public estimation'.