The compressor noise in your video is not normal.
Some of the possibilities for this noise are:
Things that can't condense, such as moisture, ambient air, etc. can
make a compressor chatter like that because it is trying to compress
something that doesn't want to compress.
Ask an HVAC Technician to recover, evacuate, and recharge your unit
to eliminate the chances of non-condensables being present in the
system. Refrigerant filter installation would also help.
Sometimes compressors aren't pre-charged with oil from the factory.
That could an oversight on the manufacturer, or the contractor that
did the installation. Most mini-splits however do come pre-charged
with oil. What could also be a problem, is oil from your compressor
has pumped itself throughout the system, and hasn't been able to
return to the compressor.
This can be eliminated depending on how the line set is installed.
Creating oil-traps is typically the best way to go - it prevents the
oil from leaving the compressor. But there should only be one oil
trap close to the unit in the line set. Additional traps throughout
the system will trap oil and prevent it from going back into the
Oil is integral for keeping the bearings lubricated and from
overheating. Friction will warp the bearings, and cause the spin of
the compressor to make loud noises.
If the outdoor unit is not installed level, then the compressor
could be spinning on an uneven axis. This could also create noise,
and will eventually warp bearings (if it is a compressor that has
them) which creates even more noise.
Check the amperage of the power going into the compressor - not the
entire unit. Make sure that it matches its amp rating. If it is too
high, then it can start making noise because a by-product of
electricity is heat. Heat causes metal expansion internally and can
increase friction of delicate parts within the compressor - creating
noise - warping bearings - etc.
The moisture on your line set is normal.
As was mentioned in comments, this is natural. In the HVAC industry, we call it "sweat back." Meaning, you have heat transfer happening - it's doing its job. This is no different than setting a cold can of Coke onto the table, and seeing the condensation build up on the outside of the can.
If you don't like to see the drips, then installing more insulation (Armor Flex is a common term) on your line set will help a lot. Some technicians will even try to cover the service ports. Moisture will attract dirt. Dirt is an inconvenience on the service ports and if not removed prior to hooking up manifold gauges, can clog the gauges themselves.
Something else to consider is Slim Duct or SpeediChannel (those are brand names) but it protects your entire line set from the environment (and other mischievous creatures such as rodents and people). Here is an example:
It also has an aesthetic quality - it looks better on the outside of your home and can even be painted to match the color of your home.