You should not abandon hope for her. Continue to encourage her, while not being forceful or pushy. Pray where she sees you and perhaps she will feel remorse that she is not praying.
A scholar in Najaf told me about being persistent, "I remember there was one of the youth who followed my father in taqlid and at some point he became a communist and left Islam. My father would pass by this youths shop on his way to salat everyday. My father would always say salam to the youth, but the young man would ignore him and never reply. My father kept saying salam to him everyday for one year then the youth finally replied to his salam and ended up repenting and coming back to Islam."
You have the choice to go to the wedding or to not go to the wedding. It is not required to observe days of mourning for days of wafat or shahadat (death/martyrdom), it is only recommended. Weddings are also optional.
In my view, if you have a good relationship with your family, or if you will regret missing the wedding, then you should go. Allah knows that your intention in your heart is not to disrespect the Prophet (S) and to maintain family ties, and maintaining family ties is also good. The Prophet (S) was compassionate and merciful and would be unlikely to criticise you for this!
However, you also have the choice not to go, and it isn't necessary to go.
This is as long as it doesn't involve disrespect to the religion. Most Muslims don't know that the 28th Safar is the death anniversary of the Prophet (S), and don't commemorate this, so they aren't intentionally being disrespectful when they schedule a wedding. However, for instance, if someone schedules a wedding on Ashura, and they know some Muslims commemorate Ashura, then maybe attending the wedding would convey disrespect to Ashura or give them the idea that you don't take your faith seriously.
The biggest emphasis in our tradition is on avoiding celebrations on Ashura. It is also good to avoid celebrations on other sad days, but the biggest emphasis is on Ashura.
There are a lot of shahadat/wafat days that are commemorated, so, sometimes, in an environment where not everyone shares the same religious traditions, it can be difficult to observe all of them!
It depends on the age and situation of you and the Mahram member of your family. It is not obligatory to cover your arms and legs in from of an old Mahram being sure that uncovering arms and legs will never cause nor initiate unwanted feeling. In general, it is not obligatory to cover in front of Mahram, that parts of your body which are usually uncovered at home with your family, provided that it should not cause bad feeling of desire or shame.
as salam alaikum
if by "little late" is meant that your parents miss the best time for prayer (waqt al-fadilah), meaning just as enters the adhan time, there is no problem in praying at different times as long as everybody prays before sunset. However it would be appropriate to pray Jama'ah and even better to pray Jama'ah at the mosque if there is the possibility.
With prayers of your success.
You must try your best to wear hijab or make yourself in a situation which allows you to wear it. The family must not be obeyed when they ask you to do something against Islamic laws.
May Allah grant you success
Well, people dream all sorts of things, some of them have meaning and some of them don't. If she is praying for this and you know she is praying for this, it makes sense that you might dream about it. Possibly your subconscious is thinking about it even if your conscious mind isn't.
If her brother has expressed an interest in marrying you, and it is a reasonable possibility for you to marry him, you could consider it. It is a blessing to have an opportunity to marry someone compatible whom you might have some trust in. It could be nice to marry a friend's brother (although keep in mind it can also change the nature of your friendship, especially if there are marriage problems). Of course there is no guarantee that the marriage would be happy but it is worth considering if you think he might be a compatible spouse. However you should make your decision based on the real life circumstances around you, not just the dreams.
If he hasn't expressed an interest in getting married then there is no reason to give it thought - he may or may not be ready to get married right now.
Anyway, you are lucky to have a friend who likes you so much that she wants you to be family. :)
You should marry the spouse who is most religiously compatible with you.
Not wearing hijab openly is an act of fisq and is a sin. One must remember that such a woman will raise their future kids if Allah blesses them. If a young girl was to see her mother not wearing hijab or dressed in ways which are not proper, she may imitate this.
The same applies for a woman in choosing a man. Does she want a man who doesn't pray and who may do sins in front of her kids?
May Allah grant you success
Yes. No non Mahram man should be allowed to see your photo with out Hijab.
You should do whatever you can to prevent non Mahram men to see your photos with out Hijab.
After doing your best to prevent or stop wrong, you will not be responsible for the sins of others even at your own home. You must do whatever you can, and no more than your ability.
First Valid Nikah will establish the marriage bond, while the other Nikah will be just for show and will not add on the valid Nikah.
It is permissible to do the second Nikah for showing people.
This is a big question - many people have challenges in their personalities or temperaments that are long-term projects to work on. However, here is something that you could consider and see if it has any helpful advice ("Imam Ali and Islamic Anger Management by Shaykh Mohamed Ali Ismail")
(I recall he did a workshop some years ago at an Islamic event on practical tips for anger management but I don't know if it is available online; you could try to find it)
Also if you haven't already, you could look through books such as this: https://www.al-islam.org/jami-al-saadat-collector-felicities-muhammad-mahdi-naraqi
Thank you for your question. The ultimate wisdom behind God's actions is unknown and simply being born into a non-Muslim family does not mean that a person is unduly disadvantaged, because God judgement of people is not linear. His Justice will prevail and be accorded to people according to their situations and what He has blessed them with. He does what is in the best interest of His servants and it is His creation that is unjust to their loving all-Merciful Creator. There are some traditions to indicate that there was a level of test prior to our creation in this world and that determined certain variables in this world. But ultimately the capacity of each creature is known by God, so even if these traditions are not accepted, the issue of who is born into what family, at what time, and all the other innumerable factors surrounding an individual's existence all come back to the Knowledge and Wisdom of God.
May you always be successful.