Yes, that engine will work.
You will not need to swap over the samurai head onto the 1600. The 1300 intake and exhaust manifolds, including your header, will bolt right up to the 1600 head. However, you will need to run a low pressure, electric fuel pump for the carb. You will probably also need to do some minor work to the exhaust as well since the 1600 engine is about 2" taller. Do a search on the web and you'll find all your answers.