When you start engine firstly when cold the rpm is very high

“It started with the battery light coming on. I replaced the battery and the alternator. Now the battery light no longer comes on, but all the other dashboard lights do, and the problem still persists. While driving, I lose power: the RPMs go up but the vehicle won’t accelerate. Multiple systems stop working (radio, A/C, power steering, etc.). If I turn the vehicle off for 30 minutes or more, the issue goes away, but it returns sporadically. Sometimes after restarting, the dashboard lights are off but it still won’t accelerate. ”