Why every Shia follow different ayatollah's

They follow the one whom they regard as the most knowledgeable in the path of Ahl ul Bayt (as).

My question is that "do we need to perform ablution again for other namaz time after we have finished one time.
For example, I finished asar namaz n there is still time for maghrib but am pure with ablution intact. Can I pray maghrib as such?

If you have not done anything that would invalidate your state of ritual purification then you can use that same wudhu to pray.

Firstly, is it ok to make both of the organs Pak with water and ones left hand only? (meaning without using tissue/toilet paper or cloth)?

The urinary outlet must be cleaned with water. Once if using kurr water or twice if using qalil water. An example would be if you use a bidet or hand held bidet this would be considered as kurr because it is connected to a large water source which meets the kurr amount. An example of qalil water would be if you used a water bottle or the small flower watering pot people sometimes use as it is less than kurr water.

The rear outlet can be cleaned with water once at minimum or with cloth/toilet paper three times (must be three different pieces of cloth).

Is it permissible for someone to ask people if the person they are considering to marry is a good person, what they’re like ect? Does it count as gheeba or is it halal?

It is permissible

I have been contemplating whether or not I should pursue hawza studies and have some questions:

1. Is there a certain level of closeness to Allah that only a scholar can achieve? That would be my intention of becoming an alim or sheikh.

2. What are the right intentions for a person to pursue hawza studies? I mean what would be the right and wrong reasons a person should pursue hawza?

3. What was your own reason or the reason many scholars pursue hawza?

4. What other considerations should one have when deciding to pursue hawza studies or not?

Religious knowledge brings one closer to Allah when it is contemplated and applied. One does not need to take on the role of a sheikh to acquire knowledge.

One should pursue knowledge with the intention being pure. He should want to seek nearness to Allah, save himself and his family from hell fire and help others as much as he can. These are some reasons.

I always had a passion for studying and learning new things about Islam. I wanted to learn how to do things the proper way and the most pleasing way to Allah. I wanted to serve the cause of Ahl ul Bayt (as) to the best of my ability and to help others especially people like myself who are facing the hardships of converting to a new religion. These are just some of the reasons.

As far as I am concerned, to vent and discuss/vent your own difficulties, hardships, concerns with another person is a healthy for the mind. However, I find that it can be difficult at times to avoid backbiting while doing so if a hardship or difficulty is due to another or involves person. How can one still discuss/vent without backbiting?

In some cases fault finding or criticizing does not fall under backbiting: 

1) If the oppressed person complains of the oppressor seeking redress, it is not backbiting. Allah says about it: Allah does not love open utterance of evil in speech except by one who has been wronged” (Qur’an, 4:148). 

2) To relate anyone’s fault while giving advice is not backbiting because dishonesty and duplicity is not permissible in counseling.

3) If, in connection with seeking the requirements of a religious commandment, the naming of a particular individual cannot be avoided, to state the fault of such a person to the necessary extent will not be backbiting. 

4) To relate the misappropriation or dishonesty committed by someone with a view to saving a Muslim brother from harm will not be backbiting.

5) To relate the fault of someone before one who can prevent him from committing it is not backbiting.

6) Criticism and expression of opinion about a relater of traditions is not backbiting.

7) If a person is well acquainted with someone’s shortcoming, then to relate such a fault in order to define his personality, for example, describing a deaf, dumb, lame or handless person as thus, is not backbiting.

8) To describe any fault of a patient before a physician for purposes of treatment is not backbiting.

9) If someone claims wrong lineage, to expose his correct lineage is not backbiting.

10) If the life, property or honor of someone can be protected only by informing him of some fault, it will not be backbiting. 

11) If two persons discuss the fault of another, which is already known to both, it will not be backbiting, although to avoid discussing it is better, since it is possible one of the two might have forgotten it. 

12) To expose the evils of one who openly commits evils is not backbiting as the tradition runs: “There is no backbiting in the case one who has torn away the veil of shamefulness.”

Nahjul Balagha translated by Yasin T. Jibouri Commentary to Sermon 138

I was wondering if you could explain the proper etiquette and manners one should have when they hear the Adhan playing?

As far as the adhan you should start focusing on the task ahead and mentally prepare to go stand in front of your Lord for salat.

I wanted to find out when prophet Isa (as) was born and if there’s any books I can read about it.

As far as i know we do not have a specific date of his birth. There are several good books i could recommend

https://www.amazon.com/Emissaries-Jesus-Shaykh-Rizwan-Arastu/dp/0692214119

https://www.amazon.com/Lost-Testament-Christians-About-Jesus/dp/0994240902

https://www.amazon.com/Jesus-Through-Quran-Shiite-Narrations/dp/1879402149

I fly to turkey tomorrow InshaAllah.
The flight leaves at 10:30pm and arrives at 8am
Can you help me determine the time for Fajr on the flight?
What should I look out for?

Keep track of the cities you will be flying over and their fajr times. The plane usually has a map that shows the locations of where you are and you can pray according to the time of the local city you are flying over

I have a problem and I try everything but I cant seem to get rid of. There's this girl who I'm friends with and have been for over a year and I felt it got to a point where it wasn't halal anymore. So I ended our friendship because I saw it heading in the wrong direction but now shes back in my life and I tried everything. I pray all my 5 namaz plus nawafil, I read Qur'an I do ziyaraah. In every other aspect I feel connected to Allah (swt) except here. I already pushed her away and I want to do the same thing but it didnt work last time why would it work now? I dont know what to do. I want to be on Sirat al Mustaqeem but its not easy. Can you give me any advice how to deal with this?

You should explain that you dont feel comfortable being in this close relationship with a non mahram. Perhaps if she wants to be with you in that way you could do a temporary marriage which will make her mahram and then possibly explore being permanently married with each other.