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^ Based on the opening poster's edit history and some quick Google searching, I'm thinking Season 2, Episode 4 of The Good Doctor.
Now that I've had some hours to think about this, example #1 seems to fit as Helicopter Parents, since that includes specifically "They also don't trust their child to make their own decisions about their career, education, etc."
Example #2 seems to lack enough context to really say anything. You didn't say how old the child is or what the child wants — and if they're a (non-emancipated) minor, they likely have no legal standing to contest it. A child with a serious medical condition being sent to a place that deals specifically with that serious medical condition sounds downright reasonable.
The parents went to a judge to argue that she is mentally incompetent. The judge ruled in the parents' favor. This would certainly not be easy; whether it reaches the level of Artistic License – Law in California (this series takes place in San Jose, California) is beyond my knowledge.
Edited by Someone1981

Two examples in the same episode:
- A mountain climber who just turned 18 is hospitalized for am injury resulting from a fall. The doctors suggest 2 possible treatments, one of which is lower risk but would effectively end her mountain climbing days, the other more risky (but low enough that the staff is willing to suggest it) which would allow her to keep climbing. She chooses the second, but her parents get a court order to let them decide on the first.
- A single mother (after the father abandoned the family because he couldn't handle the child) with a child with Fragile X Syndrome. She ultimately decides to send him to an institution which specializes in kids with this disorder.
Edited by Someone1981