Identity of GOD

hello everyone hope you all are doing good

Alhumdulilah iam a muslim and i have been studying quran and islam for sometime now (not a scholar or anything) just a regular human who loves to explore philosophy of his religion

i was listening to some debates between atheist and muslims and also between people of other faith

there are 2 particular questions that always haunt me

Q:1, Am i Muslim just because i was born as a muslim?

Q:2, how do i know other religions are false (without learning nothing about them), Also how do i know my god "Allah" is the true God (specific identity of god)

some other questions too like:

Q:what is purpose of our life? Q: are we really going to burn in hell? Q: How to find god and peace? Q: also sometimes iam not satisfied with few verses of Quran or Hadiths (does this make me a bad Muslim)? as i can not believe in something without being satisfied with it

kindly help me with these