If you definitely know that this female will use your beauty services in sinful way, then you should not help her in doing wrong. If you do not know that and they do wrong later on, you will not be responsible of their sinful acts.
Your parents aim is to look after you and save you from any thing which can harm you now or in the future. You should always listen and respect them unless when they order you to do Haraam or to leave an obligatory.
You don't need permission to spread the message of Islam, but you should always respect your parents.
She is allowed to do so for serving the noble aims of Ahlul Bayt (AS). Men will be allowed to listen as far as her voice does not cause unwanted effect on non Mahram men, otherwise they should avoid listening.
Islam encourages social co-operation to spread useful knowledge and uplift the quality of life of people. Social media helping the good cause is encouraged but when it spreads bad practices and harmful acts, then it should be avoided.
Any business which deals with interest is not allowed in Islam. Raising funds for loans with interest is also not allowed.
Social media marketing is like any other type of marketing, must avoid Haraam businesses.
Intentional looking at the sinful items is not permissible. If he looked at it with out intention to look at the bad, it won't be sinful. It always important to be away from sinful acts and be very precautious.
Alhamdulilah you have realized the error of not wearing hijab. It is possible that there will not be a sin upon you for old pictures inshallah.
You should however try your hardest to get any of these pictures removed. Try to privately message the person who had tagged you and explain the situation. If they refuse to remove these pictures, then they will be in violation of your rights and they will be also committing a sin if they are Muslims.
It may also be possible to message the social media platform and request a removal. All you can do is try and if it isn’t successful, you have fulfilled your duty.
May Allah grant you success
Thank you for your question. Below is the answer from the office of Sayyid Khamanae:
If it does not entail vile consequences, it is not objected.
May you always be successful
Many of us use social media as it can be beneficial in spreading Islam in addition to keeping in contact with those we know from friends and family.
Unfortunately on all platforms such as Facebook and YouTube, corruption may pop up from ads. If one unintentionally sees these types of things, then it is upon him to look away. If one would deliberately look at corrupt things whilst fasting, then it would of course decrease his reward but not break the fast.
Please watch a recent lecture I gave regarding this topic:
As for ghusl, this wouldn’t be needed unless you ejaculate. So if you see a haram picture by mistake and then you automatically ejaculate (which isn’t a common thing) then you would have to perform the ghusl of janabah.
May Allah grant you success
It is not Haraam , but not advisable for Muslim woman to do so especially if she is young.
If she displays her picture in public media with full Hijab, it will be the responsibility of Muslim men who know her, not to look at her picture.
Many Maraaji' of Taqleed say that it is not allowed for men to look at the photo of a woman whom they know even with Hijab.