I already have an account on PS4. If I create my own account, will I be able to play these games, only with my progress?

Question

Sony PlayStation

I took the console for myself, they wanted to throw it away because there was no image via hdmi. It turned out that the hdmi controller, the price of which is $ 30, failed. This is the first console that came into my hands.
Questions:
1.Will the system force me to enter a password if I connect to the Internet?
2. Will I be able to play these games by creating my own account to record progress on it?
3.Will the person whose account is watching any activity on my part?