There are even just 'airfields' here, if that's even the proper name. They're just well maintained grass fields with a place to tie up a plane and refueling.

Maybe that's too far in a rural area for this conversation though.

Why would we need to tie up a plane? Would they fly away otherwise?

Strong gusts can move an unsecured plane, and damage its wings, tail, or propellars. Properly securing the plane prevents it from rocking or tilting in a manner that might do those things.

Yes, they can!