New battery and when I turn the key, it sounds as if the battery is old.

Read the link below:

https://www.askmehelpdesk.com/cars-trucks/faq-how-troubleshoot-repair-maintain-hondas-selected-other-vehicles-46563-3.html#post235560

Even new batteries should be charged, before installation. It sounds like the starter motor is failing. Be sure to clean battery cable and starter connections.