The globally averaged rate of coastal sea-level rise, which is also the average rate at locations with no appreciable vertical land motion, is about 1½ mm/year.

That first web page isn't by scientists, it is by the JPL "Earth Science Communications Team." They ought to be called the Climate Alarmism Propaganda Ministry. They twist & cherry-pick evidence for their political agenda, and that particular web page is very deceptive. The reason you think it shows that "the current rate of sea level rise based on the tide gauge record is around 3mm/year" is presumably that you didn't notice that the two very similar looking graphs on that page are scaled differently. Although the JPL Climate Alarmism Propaganda Ministry showed only one rate of sea-level rise above the two graphs, the rate they show actually applies only to the satellite altimetry graph. The other graph, of coastal measurements, show only about have that rate. I wrote about that particular misleading web page in this article.

The second web page splices together measurements from different locations for different time periods, to make one graph. Since sea-level trends vary from one location to another, if you measure them at different places, for different time periods, you can easily create the illusion of either acceleration or deceleration.

The third link is to an article which argues that global sea-level rise over the 20th century was at least 1.4 mm/year, and probably closer to 1.7 mm/year. I calculate that it was about 1.5 mm/year. That's about the same as Hay et al, who calculated 1.4 mm/year.

The difference between those figures is negligible. The difference between 1.4 mm/year and 1.7 mm/year is just 1.2 inch per century.

Honolulu has the best mid-Pacific sea-level measurement record, and it is not affected by significant vertical land motion, nor by the gravity from Greenland's ice sheet (which Thompson et al worried about):