Your transfer will be quite simple since you have carry on. I just did it on Friday

On line check in both flights

your Perth flight will come in terminal 2-3 , go to baggage claim and head outside , look for the orange sign with a T on it. That’s the terminal transfer bus to terminal 1

head theough security and you are set , Oz security op is a lot different than the TSA , faster processing

2 hours is heaps

now as others have mentioned if you get a delay you might be screwed.