ISSUE:

Hello, I had a question, do you know if for this retrosynthesis, the installation order of the group really matters? The teacher has proposed the following resolution:

My question is if I could have installed the amide group first and then the ether

In this case and using the same conditions that your teacher has set, it is not possible, because the conditions he uses to introduce the -OEt group will also react with the amide, when you propose a synthesis you have to use conditions that do not affect the other functional groups in your molecule.