Does the atmospheric pressure affect whether or not liquid water can be on a planet

YES. That's why water is often liquid on Mars WHEN IT HAS a THIN LAYER of dust on top providing the extra pressure required to keep the water liquid.

http://swadhwa.stormpages.com/complanet/…

Here is a helpful chart:
http://en.wikipedia.org/w/inde…

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Of course. Even here on Earth many recipes will give longer cooking times for people living at high altitudes above 5,000 feet. Because at the higher altitude there is less air pressure, so the water boils at a lower temperature. Many people often cite the fact that water boils at 212 F. But this is only true at sea level pressure. It's also the reason why pressure cookers work. The water boils at a higher temperature inside the pressure cooker, so the water the food is sitting in gets hotter, so the food cooks faster. Of course keep in mind that these are rather small differences.

Yes.

Just a little reading in your textbook would answer all these questions you have posted about liquid water on other planets.

no, that is why we have liquid water is floating in space. Also, we can walk on moon without a spacesuit.