- Jan - mostly true
- Feb - true
- Mar - somewhat true
- Apr - mostly false
- Jul - true
Jan, removed all content on LGBT civil rights from whitehouse.gov website: mostly true
This is rather misleading as every new administration removes and archives the content of whitehouse.gov. You can see the old site at obamawhitehouse.archives.gov.
Redirects have been added for LGBT content, e.g. whitehouse.gov/the-press-office/2016/06/29/fact-sheet-promoting-and-protecting-human-rights-lgbt-persons. It is arguable whether this is still counted as being "on" whitehouse.gov.
The Trump administration has not added any LGBT-related content on the new whitehouse.gov. In fact, the entire website is significantly lighter than it used to be. Compare current and previous issue pages. Perhaps this is due to time in office, preference, or other reasons.
Feb, rescinded protections for transgender students on their use of restrooms in public schools: true
Obama's Education department issued a letter:
When a school [that receives Federal funds] provides sex-segregated activities and facilities, transgender students must be allowed to
participate in such activities and access such facilities consistent with their gender identity.
This court decision over transgender bathroom use cites that document in its decision.
we reversed the district court’s dismissal of Grimm’s Title IX claim, relying on a guidance document issued by the U.S. Department of Education and U.S. Department of Justice
Trump's Education department revoked the letter, and therefore any legal basis that relied on it.
EDIT: Credit to @DeNovosupportsGoFundMonica for pointing out my sources were incorrect, which stated that Trump (or any other president) could say opinions but could not actually affect legalities. Apparently these source were false.
For context, I leave the erroneous legal opinions from Lambda Legal and the ACLU below:
Trump's actions do not change the law itself -- transgender students remain protected by Title IX of the Education Amendments of 1972 -- but abandoning the guidance intentionally creates confusion about what federal law requires.
Rachel Tiven, CEO of Lambda Legal
While it's disappointing to see the Trump administration revoke the guidance, the administration cannot change what Title IX means.
James Esseks, ACLU
In fact, Trump's actions evidently did affect the interpretation of laws.
Mar, revoked protections for LGBT workers against discrimination in hiring employment: somewhat true
Two caveats: (1) it only ever applied to federal contracts, and (2) it was a purely administrative change, not a legal one.
Trump revoked the Executive Order 13673.
It required evidence that suppliers for federal contracts of $500k+ were in compliance with Fair Labor Standards Act, Occupational Safety and Health Act, Migrant and Seasonal Agricultural Worker Act, National Labor Relations, Davis-Bacon Act, Service Contract Act, Equal Employment Opportunity Executive Order, Rehabilitation Act, Vietnam Era Veterans' Readjustment Assistance Act, Family and Medical Leave Act, Civil Rights Act, Americans with Disabilities Act, Age Discrimination in Employment Act, Establishing a Minimum Wage for Contractors Executive order, and "equivalent State laws".
These are still laws, but compliance will no longer have to be demonstrated for every contract.
Importantly, the concurrently issued Executive Order 13672 that actually covered LGBT discrimination remains in force.
And none of this matters for employers who are not federal contractors.
Apr, drops federal lawsuit over North Carolina's statewide prohibition on LGBT equality: mostly false
"Statewide prohibition on LGBT equality" is overly broad on two counts:
The Public Facilities Privacy & Security Act pertains only to transgender persons, not any other LGBT person (lesbians, gays, bisexuals).
The law is scoped strictly to bathroom use in government facilities. It does not affect housing, employment, taxes, etc. All existing protections remain in place for these.
And even more glaring problem with the claim is that North Carolina repealed the law. While technically the Justice Department did perform the legal formality of withdrawing their suit, they did this only because the defendant acquiesced. By any reasonable definition, the Justice Department "won" their case.
When North Carolina repealed the law, they did replace it with another prohibiting local governments from legislating in this area. Though the practical consequences of the new law likewise has the ire of transgender groups, it is different. And the state law leaves no grounds for the Justice Department to create a new lawsuit on constitutional violations.
July, signals the US military will not "accept or allow" transgender people to serve: true
Then Donald Trump announced via Twitter
the United States Government will not accept or allow...Transgender individuals to serve in any capacity in the U.S. Military.
For context, at the time of this answer, openly transgendered recruits have never been permitted in the U.S. military. Obama announced the restriction would be lifted, but not until a full year after he left office, in 2018.
EDIT: Note that the claim did not say that President Trump ordered or carried out the ban's continuation; the claim conservately stated that he "signaled" it, and he certainly did that.