1. No, temperature cannot go below absolute zero. The way you can cool something is by treating it with something colder - so why can't you do that? Well to treat it with something colder, you would need to make that 'something;, which means that you would need to make that something colder - and so it goes on.
So why can't you get below 0 degrees K (I don't care, C and F are capitalised).
Well temperature corresponds to atoms/molecules jumping around. The more you heat them up - give them energy - the more that energy turns into heat. Conversely, if you cool them down, it takes away heat energy in the form of movement. So absolute zero is when they are lying 'dead' still. All you have at your disposal to cool them further are other 'dead' still molecules, so, of course, nothing happens.
For the same reason, you cannot ever actually reach 0 K since you cannot get anything colder to cool them with.
2. No, the pressure in space is not zero. But it is below the lowest pressure we can make in the laboratory. If you think about it, pressure is due to molecules jumping around like temperature. I know you said no equations - but please one teeny weeny itso ever so tiny one. For a gas there is an equation P x V = R x T
where R is a constant and T is temperature. So you can see that, for a gas, they are all related. If you seal gas in a container and heat it, V is constant, the volume of the container, so pressure is proportional to temperature. We know that. If you heat gas in a sealed container the pressure goes up.
Having said that, there is only a certain amount of gas, mostly hydrogen (H) and helium (He) because so much is taken up making stars. But if you have any amount of gas, it will have a pressure, and so it will move into lower pressure areas. So however much H and He are out there, they will spread out until the pressure is equalised. When all at the same pressure, there is no 'reason' to expand further. That would just make a lower pressure somewhere else.
So even though you might have only one gas molecule per cubic mile, or even a lot less, the pressure will never get totally absolutely down to zero.
Of course, the temperature in outer space (away from stars) is pretty cold, so the molecules don't have much energy to move around either.
Hope that helps, but please come back if you have any questions.