I need to create a lot of points with lots of attributes, but most of the fields are the same, so I don't want to edit all the fields all the time. Is there a "remember previous fields" function available?
Could you make use of the Quick Multi Attribute Edit plugin? You can create a number of points first, select a group of them, and bulk edit common attributes using the plugin.
If you are entering house number points please also try the house numbering qgis plugin: