Some simple factors to keep in mind:
10% increase in cases per day: 1 week to double, two and a half months to increase by 1000.
15% increase per day: 5 days to double, 7 weeks to increase by 1000
20% increase in cases per day: 4 days to double, six weeks to increase by 1000.
25% increase in cases per day,: 3 days to double, one month to increase by 1000
40% increase in cases per day: 2 days to double, three weeks to increase by 1000
It's already peaked in China cause they actually did the right thing to prevent more cases.
But China's government can do things Western governments can't. Their ubiquitous Big Brother network of cameras, coupled with the ability to locate all individuals by access to their cell phones, allows them to track the spread of the virus to an unprecedented degree. The laws in the U.S. would have to be changed--or suspended by the President--for that approach to be used here, and I assume that's the case in Europe, too.
No. Deaths/cases is currently at 3.4 % globally. His (Centre for the Mathematical Modelling of Infectious Diseases, London School of Hygiene & Tropical Medicine) estimated Case Fatality Ratio is 1.1 % (0.3-2.4 %). Note that is of symptomatic cases only. Of infections it is 0.5 % (0.2-1.2 %).
He makes the point that it is one of the factors, but other factors lower it.
Of course other factors can lower it, particularly the possibility of asyptomatic cases. That Centre has estimated that proportion from the Diamond Princess data, and specifically by estimating the time between identification of a case, death.