Welcome, SWEET Car...
Here are a couple of things to help you get started.
First you will want to get Les Andrews, Vol 1 Mechanics Handbook. Here is one vendors link.
http://www.mikes-afordable.com/product/A91024A.html
Here is an pdf copy of the cars Instruction Manual that will help you "bond" with your new friend,
http://motormayhem.net/wp-uploads/20...ion-Manual.pdf
Also you are in the right place. Don't forget that "You Tube" has lots of helpful videos on the Ford Model A. Here is a good start for you as a new A owner to watch. Jack is a contributor to this site.
https://www.youtube.com/watch?v=8xkAZil2b78&t=5s
Yes there is a "pawl" and it may well be worn out, or just dirty. There is also a spring and a pawl rod under the button on top of the e-brake handle. The button is held in place by a small pin. Could need cleaning also. All of this is on page 1-112-1-114 of that red manual.
PAWL:
http://www.mikes-afordable.com/mm5/m...vc?Screen=SRCH
Lot's of vendors have diagrams in their catalogs as well as ford vintage:
https://www.vintagefordforum.net/forum
Ask, ask ask, and enjoy the adventure, Chap