How to remove such a burr? Can't connect the dots?

Question

Adobe Illustrator

Such burrs are constantly formed, I don’t know what to do with them and how to clean them. Dots are also not always possible to connect together.

Answer 1

If this happens when you're trying to connect the dots, then that's one thing. If it's just while drawing, it's different.
First option: select the two points you want to connect and press one of the combinations that suits you best:
Ctrl + J - a straight line will be drawn between the points, editing guides, as always, is available using the Anchor Point Tool (Shift + C) ;
Shift+Ctrl+J - points will be connected together, the connection point depends on the path;
Shift+Ctrl+Alt+J - the points will be connected together at the middle of the distance between them.
Second option: edit the guides with the Anchor Point Tool (Shift+C).