Alright let's address it one at a time:
1. Was Trump right to impose the ban - Well he's the commander in chief, so he certainly in that regard has the authority. But no, I don't think he's right to do this ban. And it's not even fully practiced, we have people in the military of all branches say "I don't care what he said, I'm not imposing that."
If you're an American citizen and you're benefiting from all the freedoms our military has kept possible without contributing yourself, it's ludicrous to say "No I don't want to be kept safe by a transgender person". Now, you're active military, we have a dicey situation here. I want my troops to be comfortable BUT, I don't care if they're uncomfortable if they are standing on shaky ground morally. If every troop member was polled and said that 90% of them didn't want African-American soldiers, I don't give a shit, I'm saying don't ban them.
2. Does the increase frequency give them concern about lethal firearms - well, they got a funny time caring about that. I work as an EMT, and part of my job working in the private sector is doing what are called "Baker Acts". That is when someone is deemed a danger to themselves or others, more than likely because they've voiced a want or created an attempt to kill themselves. I've worked well over a hundred Baker Acts, and I can tell you, more than half of them are ex military. So if you're telling me the government is banning people for this problem and that problem when it comes to depression and other non-psychotic mental illnesses, I want to hear what are they doing about our current soldiers. Because they are turning the most healthiest of men and women into manic depressive suicidal patients anyways. Yes its a risk, but maybe this will help fund the mental health support they clearly need in the branches anyways.
3. You got a thousand reasons to be concerned about Trump's presidency, but them feeling broadsided by this decision is a blip on a much bigger radar dot. He's escalating a nuclear stand off with a dictator as we speak with improvised speeches that makes him sound like he's binge watching Game of Thrones. Yeah it's not good, but it's moot compared to all the other lousy impromptu decisions he's making.
4. Yes. It's in the name, lgbTq. He stole a few votes from HC independents by taking a few pictures with a rainbow flag, but this president gets a failing grade on all accounts of LGBTQ.