yes baby will enjoy all new good explosure to world. please take care as avoid very cold,noisy,or too much crowded places. gradually u can introduce new world to lil one. carry essentials and try child friendly places so both can enjoy without any hazzals.

of course. totally ok. make sure she is completely covered with only face showing

Yes of course. Have baby in a baby carrier and that leaves you hands free. Avoid people touching your little one but your baby will surely have a good time.