is there public parking there

Yes across the street, at $9/ hr (others may be less)

Across the street there is a safe and easy access with wheelchair and baby stroller

The outdoor parking next door is much more expensive than the underground parking across the street. Leaving after 4pm is a nightmare for traffic too.

Yes. Right across the street. I believe $20-$25 for the whole day.

Yes but it's a short walk, just north of the needle and is a little pricey.