Many of them can be quickly checked, as a person who follows the stock market I can tell you for sure the ones below are in fact accurate. I don't have time to or care to go through the entire list, but focusing on the economy you can click the links below for independent verification of the claims. Some of these are well known fact while others I've added some links for further reading.
Here's a nifty chart showing it the jobless rates from CNBC.
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Let's see how many of these things are or aren't directly tied to Trump's actions:
1. The economy took a slight boost due to cutting taxes on the rich and companies, allowing them to spend more even if the spending ins't on the employees, any spending and money movement will increase economic health. Trump here can take this to some degree even if most people don't see the money in their paychecks. I can say some I know have yet to see any.
2. Factor of the economy, but also because cost of living increases have driven more to get jobs. A good economy has that as a downside, but that's just economics. Other factors include the economic cycle, education, etc. Trump can only partially take this because economic cycles are a thing and population increases over time can help shrink statistics. He can't take all credit though.
3. Again factoring the economy. Almost the same as the last point. Education and job growth are owed to this. Also the force of laborers protesting low wages such as the teacher strikes and just general low unemployment means companies have to pay more to keep people since people can just go anywhere they want if they aren't paying well enough. Trump again can take some credit with the rest going to the cycle.
4. Education again and history. Trump hasn't done much for education as far as I have heard so him trying to make this his "doing" isn't valid. It also has more to do with small players and some companies trying to diversify their workforce.
5. Refer to the last point. Trump can't claim this either.
6. Refer to 4 again. Why is he even trying to claim this? It has nothing to do with his own actions.
7. Divorces, more independent women, an increase in feminism, more educated women, all social changes combined with an increased need for jobs due to a better economy helped make women more of the workforce than ever before. Trump can take the economic part but nothing else.
8. Uh yeah of course it has because people like me have to work and go to school to avoid the crushing student debt that has embraced the early Millennials. Also has to do with parents not wanting their kids living at home forever. Sorry Trump but you can't have this one. It's all social changes and shifts in the labor of who works what. It's either retail, restaurant, or some other low labor job unless you're a college student not looking for a job. Then you're not counted. This also raises another point. You're only counted as unemployed if you are looking. If you aren't you aren't counted. Keep this in mind.
9. Refer to prior about parents and social changes. I can't really explain this other than maybe those people are working low-non-long term jobs that the boost helped create. Only the economy boost goes to Trump. You can see where I'm going with this...
10. Policies lifting bans and such helped with this. Fracking, which is something I absolutely despise, has increased. This effects actual people and destroys the land and increases quake activity like in OK. Trump can have this greasy badge.
11. Just a GW point. We know Trump denies all climate change. Given that he isn't very environmentally friendly, he makes any attempt to reduce pollution look like evil. Whether it would really kill jobs is debatable. Not giving this a good victory to him myself. Take it how you want.
12. So? Government waste. Next.
13. Court packing at its finest. Again, take it how you want.
14. Steel is choking at the moment so the purpose of trying to save jobs is being lost. For national security? I'm laughing. I know China is a threat but what's the steel going to do? Hack us? He used the wrong wording. Still a loss if steel is suffering.
15. I can say this actually as a good thing that he did. China is a threat with cyber attacks. We don't need that in our country.
TLDR, Trump is trying to take trophies for stuff he barely had an influence in.