How bad is the Earth after 1 billion years?

After a billion years, the Earth will have an average temperature of 47 degrees Celsius, no more eclipses will appear, 99% of the trees will disappear, the oceans will completely evaporate, most organisms living will be exterminated.

1. What happens when the Earth falls into a black hole?
2. What happens if obnoxious mosquitoes disappear completely on Earth?