That sounds like a reasonable set of policies, to be honest. Easy to get the kind of gun you would want as an ordinary working tool in the countryside or for home defense. Difficult and time-consuming to get the kind of gun you would want for a mass murder.
Semiautomatic rifles and pistols are the most commonly used guns for home and self defense by a large margin. Being behind a 2 year wait to perform the same background check the federal government can do in 30 seconds makes absolutely zero sense.
It's not a reasonable set of policies though, they're intentionally made to be burdensome and hard to comply with.
Background check: yes, fine. However, these need to be processed quickly to have any effect. If someone is flagged, don't we want to know that sooner rather than later, even if they're blocked from buying a firearm legally?
Submitting social media profiles: What defines social media? What happens if I forget a handle? Are political opinions now going to be a deciding factor in whether or not I can exercise a constitutional right?
No out-of-state licenses issue: There is no good reason for this. If I'm spending time (and money) in NYS, and can otherwise possess a firearm, why am I not allowed to do this when visiting?
No touching of a handgun without a pistol permit: Specifically targeted at making the process onerous. If you're interested in shooting, you need to go through this entire process, and will afterwards be allowed to carry a firearm in public, all before you've actually tried to shoot one (outside of the very basic live-fire training course). Potential law abiding gun owners are very very dissuaded by this.
Residency requirements: Again, no good reason. If I pass a background check, why do I need to live in X county for 3 years before I can buy or possess a firearm?
Drug testing: Nassau county now requires you to submit a urine sample within 14 days of receiving the permit application. The sample must go to a lab with a certain certification, and there are _none_ in NYS, and the fee is $400. If the test results arrive to the county after 14 days, or they claim they arrived too late? Start over and pay the fee again. This has to be repeated every 2 years.
On the topic of "the kind of gun you would want for mass murder": this is a boogeyman in the current media. There are ~400 deaths from _all_ semi-automatic rifles per year in the US, including suicides, justified shootings, murders, mass shootings, etc. There are tens to hundreds of millions of these weapons in circulation, yet so few deaths. More people drown in pools every year than die by rifle in the United States.
We should be looking at the causes of these mass shootings, not trying to make legal access to firearms logistically impossible for all but the wealthy and well-connected.