Will parents be sinful for not giving their children a proper upbringing?

Q: Someone told me that if parents don’t do proper upbringing of children they will be held accountable for it, but everyone is accountable for himself, how do I reconcile between that?

Also if parents are sinful if they don’t teach about a sin to a child and he does it, someone told me that parents won’t be sinful if they don’t directly guide the child to that particular sin, but they will be held accountable for not guiding them. Is it correct?

Calculating the 7th day after a child is born and keeping the name Muhammad Aadil

Q: Allah has blessed me with a baby boy. I want to keep his name Muhammad Aadil. Aadil is one of the siffaat of Nabi-e-Kareem Muhammad (sallallahu alaihi wasallam). Is it a good name?

My son is born on Monday afternoon at 3:30 pm. Now I want to calculate the 7th day. If I count Monday then 7th day will fall on Sunday. Is it right? Or I must start counting from Tuesday then 7th day will fall on coming Monday.

Should one take and a loan from a bank to buy a house or continue paying rent?

Q: I am residing in a rented house for the last 3 years and my monthly rent is being paid to a private owner by my organization. In future, I will remain living in the rented house. If I could get a loan from any bank to purchase a house for myself and pay the same monthly rent to the bank against that loan and in this way I shall become the owner of that house in 15-20 years time without affecting my financial liabilities. Is it Halal or Haram way?