It won’t take long to get a thorough education on 1970’s Subarus.
What you have is considered a Stage one car. In 1977 Subaru finished one body run and began a new one , hence Stage one 1977 and Stage two 1977.
So along the way the previous era was declared stage one (1972-77) and then stage two (1977-79).
And the first Brat is associated to stage two and runs up through 1981.
1982 begins a next gen for the Brat.
1980 begins a new gen for the cars.
Laughable history - 1973 had 3 stages within that year. It’s own story.
So the car you’re looking at being stage two definitely came with a 1600 You can use that engine and drivetrain in your car. They are similar in size and you might not even need the 1600 crossmember , but if the opportunity is there it wouldn’t hurt to have.
Wheels are the same , brakes too.