Hello (javier ) - no, internet connection doing strange things.
I'd say the biggest difference between self-confidence and self-esteem is the extent to which you internalise your feelings of self-worth. So, someone with good self-esteem just knows their own worth, and acts - or doesn't act - accordingly. It's a state of mind, as much as anything else.
Self-confidence, however, can be faked, I reckon. Lots of people 'confidently' do things: act, give lectures, socialise wildy at parties, etc. etc., in a way which exudes confidence, but doesn't necessarily mean they have self-esteem. Self-confidence comes from knowing that you can do something, because you've done it already successfully (e.g. acted well on stage, etc.); thus you have the confidence to go out and do it again.
That's what I think, anyway.
I've always told the children and young people I've babysat that they're beautiful: because they are. Beauty is a complex kind of thing, but children generally have it in one form or another.
Also, model-like beauties - people with film-star like good looks - are generally rare (otherwise there would be no models, etc.) - few people can live up to that kind of "beauty". But, the most beautiful adults I know in RL have a quirkiness or special quality that comes from confidence and self-composure - that makes them beautiful. You can instil that kind of beauty in a person, I think, by telling them how beautiful and precious they are to you (Dawn French talks about how her dad told her all the time that she was beautiful, and that she's always believed it).
I fully intend to tell my DD that she's beautiful all the time. I tell her now, actually, but at 9mo, I think she's pretty oblivous to flattery! There are enough people in the world to make young men and women feel inadequate about their appearance: their mums and dads should tell them they're lovely!
I think I first got pocket money when I was 7.