Hello, I live in Ukraine.
I will try to answer your questions.
1.It's just as safe for you as for me, pretty safe. Last time here is a problem of crime (theft), so you need to be careful about this.
2. Yes,unfortunately many people are racist.
3. fairly poor country
5. I think yes, but it's will be hard.
I'm also from Ukraine and my answers would be different.
1. Only some regions of Ukraine are not safe, but you will be not allowed to get there. In other regions the situation is as everywhere in the world - watch yor belonings, don't walk at nights alone, in other words - take care of your safety yourself.
2. In my surroundings I don't see any racists. I live in Kharkiv and there are many big communities of foreign students. They use public transport, are part of a crowd in the streets, take part in the city festivals... Never heard of any arguments.
3. Comparing to Europe, it's really very cheap. It depends though on the life level you are used to. Just FYI, here in Kharkiv you can rent a good 1-room flat for $200-250.
4.-5. I'm not a good adviser in these questions, but as I said the international communities are big here, I see some areas in this city with cafes, barbershops and so on for foreign people and led by foreign people. But I can say, not knowing a language could be a problem with finding a job.