A non-Muslim friend of mine asked how I could prove the existence of God and why He has given us life, and what its purpose is?
My answer did not satisfy him, please tell me what I should tell him?

I have very difficult question and I think this is my only hope that you can help me to find the answer.
I am a Russian Jewish girl and I know this Muslim guy for over a year. The longer we know each other, the more problems and difficulties we face. Not in the religious or cultural ways. We love each other and there is an issue of whether he can marry me or not.
He is a very good Muslim and he comes from traditional family. I am very fond of his beliefs and beliefs of his family. I was born in a very agnostic country and couldn't be properly introduced into any religion. It was forbidden. When I came to the US I started my research on different religions and found out that my beliefs do not really match all Jewish sayings. I did a lot of research on Islam and by looking at him and a couple other Muslim boys and girls, and by reading Quaran, I have a very strong feeling that I could become a good Muslim. I want to go to school to learn the culture and religion more precisely, to learn the language. I contacted the mosque and was ready to go... but I faced the issue: would I be accepted as a Muslim sister like other people who came from different religions except Jewish? Jews and Muslims are in big contradictions and I know that friendship is almost impossible. I am praying to God (in my home language - Russian), to lead me the right way to achieve my beliefs.
Please, help me to find my answers

I am one of those who send blessings upon the Prophet between 50 and 100 times a day, according to circumstances. I say: “Allahumma salli ‘ala Muhammadin wa aali Muhammad (O Allah, send blessings upon Muhammad and the family of Muhammad).” There are some people who tell me that my sending blessings upon the Messenger of Allah is lacking. Can you tell us – may Allah reward you with good – what is the ideal way to send blessings upon the master of mankind, and is the way I am doing it really lacking?

There are many religions.

Why do Muslims think that Islam is true. Is there any factual basis?

I have committed many sins which no one knows of except Allaah. What do I have to do so that Allaah will accept my repentance?

Is it permissible to fast without praying?.

I am doing research on the concept of monotheism in the world's five major religions. Could you please explain to me the concept of monotheism in Islam?
 

Some mobile phones have a Quraan programs which enable one to read the Quraan anytime on the mobile’s screen. Is Taharah (Purity) a condition before one starts reciting?.

May Allah reward you with good for answering my question, but I think that it needs further explanation of the issue of sprinkling hot water on the private part, because the wet dream occurred at the time of ‘Asr prayer, and I have a problem, which is that maniy and even madhiy continue to come out for a considerable period after they are first emitted. It often happens with me that one of them is emitted at the time of prayer, whether that is because of thinking or because of a wet dream, but in order not to miss the prayer, I sprinkle hot water (on my private part) so that whatever is left will come out. Please note that I do not feel any desire when I use this method. Now I am going to make up the fast of that day that I told you about, in sha Allah, but what should I do if maniy continues to come out whilst I am praying? Should I pray in that case?

I live in a city where there are no other Muslims and no Mosques. I need to peform my friday Jumuah, unfortunately I am not knowledgeable enough to peform the prayer myself, may I use a audio recording to lead me? Also may I use earphones since I don't want to disturb those in the next room and it blocks out distracting noises. I'm studying so that I may peform my own prayers confidently, in the meantime may I use these measures?.

There is a person who was in a state of janaabah and he wanted to do ghusl for janaabah, but he said: I shall wait until the time for Jumu‘ah comes, then I will do one ghusl for both Jumu‘ah and janaabah. That was after Fajr prayer. But when the time for Jumu‘ah came, he did ghusl for Jumu‘ah and forgot to intend to do ghusl for janaabah. Then he prayed for an entire day, until Zuhr on Saturday, and he led the people in praying Zuhr. Then after Zuhr he remembered. Was his prayer and the prayer of the people valid? Should he tell the people about that?.