Here is my general feedback:
I would say you did quite well. You knew standard procedures and how to properly respond to requests!
I would recommend giving a pattern instruction to the aircraft to go on right or left downwind if they are remaning in the pattern and before handing over to depature.
I recommend also you giving the pattern instruction of turning base, whether that would be instructing me to do so or me turning base independently based on my judgement. Either choice is your discretion.
A tip is to go to an airport that likely won’t have depature or approach coming out of the blue so that we can focus on generally giving pattern instructions to the aircraft, like an airport in Russia or Mongolia, etc. Having two or three aircraft in coordination would be useful to teach you sequencing, however that wasn’t really the case.
Next time I will be request a transition and see how you respond! A transition is basically flying over the airport with no intent to land, I would generally recommend to keep the transition altitude above pattern altitude, let’s say 3,000ft.
Question: What’s your timezone by the way?
Note: If you see anything wrong with my feedback, please notify me (this is my first time giving feedback to someone) :/.