Won’t let me play on the right account

I’m already logged in but I have two accounts on my ps4. My sibling’s account works but my mine, when I start remote play, my controller turns off so I turn it back on then it brings me to the screen where you have to pick a profile and I’m unable to log into that same account. When I press on the right profile, my screen freezes then it says I got disconnected.

(Don’t mind that it’s in French lol)

Also is there a way I can play from a distance without having to bring my console or having to turn it on? I’m going to someone’s house for a week and it’s an hour away from home, I don’t want to bring my console and was hoping to still be able to play some game where I have a streak to keep, etc.