As far as the hiding of the strokes goes, I have found a solution:
For whatever reason, the wireframe view was selected.
This problem was solved by selecting any other view in the top right corner (e.g. Solid view).
To set the snap menu in Blender, you must open Blender preferences, and go to the input tab.
In the search blank, type "snap keys". One result-snap keys should show up. As you showed in the picture, the blank for controlling this action with a shortcut was empty. If no results show up, then make a new shortcut with these settings:
While I made the same switch as you and felt like I had to relearn blender, I am now very comfortable with the new controls, and they are much more intuitive. However, if you do want to stay with they 2.79 controls, here’s how you do it:
Go to preferences>keymap. Next in the drop-down bar at the top that currently says blender, click on that and change the ...
In the top left where it shows your tools you can click a new one. I'm assuming you want a selection tool since you mention the box select. You can click and hold on any of the tool boxes to open up a drop down to select a different tool. one of them should be the default tool you're looking for.