"Trump falsely claimed that “the Democrats don’t want to do anything having to do with protecting people from eviction,” even though the House Democrats had already passed a coronavirus relief bill to do exactly that."
https://www.whitehouse.gov/briefings-statements/remarks-president-trump-press-briefing-080920/
"In the current negotiations, we have repeatedly stated our willingness to immediately sign legislation providing expanded unemployment benefits, protecting Americans from eviction, and providing additional relief payments to families. Democrats have refused these offers; they want to negotiate. What they really want is bailout money for states that are run by Democrat governors and mayors, and that have been run very badly for many, many years — and many decades, in fact. You know the states; everybody knows who we’re talking about and what we’re talking about. I don’t think we have to go over it."
Your quote is from before they signed anything.
"The Affordable Care Act prohibits insurance companies from denying coverage to those with preexisting conditions or charging them higher premiums. Yet Trump made the curious claim that he would pursue an executive order to require “health insurance companies to cover all preexisting conditions for all customers,” falsely adding this had “never been done before.”"
https://ussanews.com/News1/2020/08/08/trump-to-require-health-insurance-companies-to-cover-all-pre-existing-conditions-for-all-customers/
"Under the law passed under former President Barack Obama’s administration, health insurance companies can’t refuse to cover people or charge people more just because they have pre-existing conditions. It is one of the most popular aspects of the law. However, the rule does not apply to “grandfathered” individual health insurance policies, which refer to those that were purchased on or before March 23, 2010."
"Trump lied when he said that more than half of U.S. counties reported fewer than 20 COVID-19 cases in the past week. That’s correct for cases reported between Aug. 1 and Aug. 7, but those counties make up less than 10% of the U.S. population."
This one you answered yourself. Half of the counties that reported, had fewer than 20 covid-19 cases.
"The president lied when he said the percentage of national emergency room visits for COVID-19 symptoms “is down to almost half what it was in July.” It is down only 29% from the July peak."
I'll need a quote or citation for this one.