For your parents you are always 5 years old. It will take a lot of time till they accept that you can live on your own. This is not because they don't think you can, but because they did that for such a long time, that they became used and especially dependent on it. For them tutoring you makes them feel useful.
Any person that doesn't feel useful feels bad in some way. For them you are the most important matter in the universe, everything else comes second. So if they don't feel useful to you, they will feel bad about it, no matter how stupid it might sound to you.
You can speed up things a little if you for once make sure they still feel loved and useful, by letting them do things you know they like to help you with (my dad for example loves installing electric equipment like lamps, so I invite them occasionally when such things arise). On the other hand gently mention that you are now old enough to stand on your own feet. Eventually your parents will understand and accept that they need to let you go, especially if they know that you are not going too far away (symbolically speaking).
When your friend praises you for simple tasks, then she is most likely amazed, because she doesn't know how to do that, or thinks it is very difficult. In this case it is more like a compliment, and you could answer things like "Of course I can, I am a professional!" with a smile. But be prepared to then be the expert for doing such things for the rest of your future. ;)
During work, especially in the IT business, some people have not yet fully understood that women are (now officially) equal to men. 50 years ago even a woman would have agreed that they can't do certain tasks, because it was the common opinion. Those people still are in those companies and often treat women less, simply because that's what they have been taught to do.
If younger co-workers treat you like that, they might feel threatened by you taking away 'the last bastion of man-kind', if you demonstrate superior skill in a certain area they might feel weak because of that (men in general don't like to feel weak), or they are simply mocking you, because men like to communicate a bit more aggressive and provocative. In all cases that's their problem and not yours, so make sure to notice in an appropriate way that you don't like to be threatened like this. And if everything else fails: tell your superior. Just don't get too overzealous, you might have to work with these people for a while longer.
As a summary: act against that common misconception if it annoys you, but don't take it too personal, as in most cases people actually admire you for what you can do.