I'm having alternator like problems with my 2004 Honda Accord after replacing the starter. The battery is new?

I'm having alternator like problems with my 2004 Honda Accord after replacing the starter. The battery is new?

Contact the dealership/ company.

Bought a new alternator and I continue to have the same problem. Starts up well. After a while with AC and lights on, all the lights on my dash come on and the speedometer shuts off. What could be the problem?