Door drips water?

Those would be the door drains, and they should actually drain out faster. Normally they would be more open. If you get down and look up under the door you will see the drain slots in the panel. I would take a small nylon brush and clean them out to improve how it drains.

The outer door seals around the glass on the doors leak a bit by design, if they were very tight it would scratch the glass so they use a felt type material that does let some water through. When it rains some water can get into the door shell and then it drips out the lower door drains. Completely normal. Really nothing to worry about, but if you take it back to the dealer they will likely run a brush through the drains and send you home. As long as the water drains to the outside like that it's fine and after a few months of you using the car and the seals and doors getting better seated and all the build chemicals and sealers getting settled it will likely stop. Now if you were in heavy rain or wind whipped rain that can make it worse because it forces the water in. Then it might take a couple days for it all to get out. When you would worry would be if it rained hard and when you moved the door you heard water slosh in it, then the drains are completely blocked. Have seen a couple cars that way. The one had 4" of water inside it! Cleared the drains and it never had an issue after that.

If you live in a place where they use salt on the roads, I would take it in ASAP, a place that does Krown, Fluid Film, or NH Oil type oil sprays. Avoid the rubberized tar like crap (Like Ziebart, Line-X, as it will trap moisture and cause rot faster than if it was left bare. The oil types get into the tiny gaps and work much better.

That is great, no salt slows the rust to a crawl even then I would probably coat it if you tend to keep cars for a long time. Where I am they use the most salt of any state in the US and more than many other countries as well. You can practically hear the metal rusting away. The average life of a vehicle is about 12 years before they are rotted so bad they are unsafe. I've watched vehicles get crushed from rust that the owners were still paying off!
Really discourages you to buy new. As for yours, totally normal for them to leak after a rain, even a heavy dew can make them drip. When you get a big rain and they don't leak, then worry. Where you might see that is if you drive a lot of dirt roads or have a lot of trees that have the fuzzy pollen that blows around and sticks, but normally if you wash it at least once a year or so it will clean out the drains.

In that case you shouldn't have a problem. Florida doesn't use salt.

Totally normal. If you were to cut the door open and look at the bottom you would see it has the different panels joined at the bottom. The inner door and the outer skin that covers the edge. The drains are in the inner tub. If the car is setting perfectly level and the doors were made identical so that everything lined up, if the same amount of water falls on both sides you could get identical water release. Since this is the real world, that doesn't happen. What you are seeing is normal.

As they break in the door seals and hinges will shift around. However in 4 years you likely won't see any changes.

There will always be water dripping out. That is how all cars are built. The window felts will always leak some, plus you get condensation in there as well and it drains out, if it didn't drain out it would cause major problems with mold growth and rot inside the doors. So they put a way for it to drain out. 100 percent normal. Heavy rains you will see more water, no rain no water. The seals and hinges will not even start to be worn until the car hits 6-7 years old and they don't let water into the doors if they fail, it would be leaking into the interior of the car. Sort of like those movies of the folks going through a car wash and getting sprayed inside the car. That usually is a sign the seals got damaged, like something drug across them and tore a chunk out of the rubber. The common cause for that is the folks who put roof top carriers on and don't look at where they put the straps.