Is hate an emotion, or is it more of an attitude, or a judgement?
Hate is a feeling, so an emotion. But it might be augmented or brought about by thoughts, attitudes or judgements - no matter whether true or untrue.
Is hate more irrational or logical?
If you accept what I said above about hate being a feeling then it is irrational by definition since the definition of 'rational' is essentially a thought that uses logic. A feeling is not a thought and feelings don't always occur for logical reasons. Therefore they are irrational.
Does hate serve a purpose?
If you accept evolution (as you say you do and as I do) then it almost definitely serves a purpose since so many creatures have a capacity for it. It must be advantageous in some way otherwise it wouldn't be such a universal behaviour.
My opinion is that it allows us to protect our own interests more effectively.
Do love and hate always express themselves?
Sorry, I don't understand?
Why is it that both love and hate can result in both heroic and evil actions?
Whether an action is heroic or evil is extremely subjective imo. But if pushed for an answer then I would say that hate is an emotion that can cause us to push back against perceived injustices, so can therefore be seen as a good action coming from an otherwise negative emotion.
Which one has the wider radius of effect?
Sorry, I don't understand the question here?
Is hate what happens when someone is not loved?
If you accept what I said earlier about hate being an emotion that helps us protect our own interests then you have to accept that hate can occur for other reasons besides not being loved. For instance someone could just be a bit inconvenient to you, getting in the way and making your life slightly more difficult, so you would be inclined to hate them so that they might stop being so inconvenient
Is hate a stronger force than love?
How could you ever quantify this? For a start, the strength of a feeling of love or hate can vary significantly, so I might ignore my mum if he she won't stop talking about boring stuff (strong love beating a weak hate) but I might not forgive a violent criminal if they mugged my mum in the street (non existent love for some random guy Vs strong love for my mum.
Basically, I guess I'm trying to say your question is too loose to be answered in any meaningful way.
Are destruction and construction two sides of the same coin?
An action that improves one person's life might come at the expense of someone else. So yeah, I suppose it's not completely clear cut. Bit things never are.
Is hate ever positive? Is love ever negative?
Is there a larger size than large? Is there a smaller size than small? Is there something you can compare something short against so that the short thing looks long? As a UK citizen if I'm in Australia then is my 'up' here their 'down'?
Has science helped the world? Has science hurt the world?
The point is that you're question is too binary. Too one dimensional. Cases could probably be out forward for cases where hate is positive and cases put forward where it is negative. You could probably put forward cases where it is both and the same time. And the same goes for love.