Aggression or playfulness

So I’m not sure if my 16 week old puppy is starting to show aggression or not. He’s seeing a trainer on Wednesday to see if this would be a good fit but I just need advice I’m getting worried I’m not gonna be able to control him once he gets bigger. My brother said my puppy usually tries to bite him when he sees him. Also, about three days ago my bf slept over and when we were in the bedroom my dog got the zoomies and started running around the entire room biting everything in sight. It also seemed like he wanted to bite us. Then today I was sitting on the floor playing with him. He was laying on his back trying to reach a toy I had dangling above his head so he’d be flopping around sometimes hitting himself on the floor and it’s like a switch flipped after a bit and he flipped his entire body over and started running around the entire apartment. He seemed to act the same way he did in the bedroom a couple days ago so I got up off the floor and once I did that he seemed to shake it off. A few hours later I took him out to potty and the moment he saw another dog he stood up on his hind legs and kept trying to lunge at the other dog. I tried to get his attention with treats since he’s very food motivated but he ignored me so I tried picking him up and he started growling and trying to bite my hands. Also, he seems to get the zoomies at night time when I take him out to potty and he tries to bite my legs. So how do I correct this behavior before it gets worse? I’m at a loss and honestly kind of scared of how I can control him. He has no sense of how hard he bites and often times hurts me or my partner when playing.