Tell us more about your controller setup. InterLink DX, your own radio via USB, or your own radio with wireless USB receiver. If it's your own radio, which one?
If you're using the HobbyZone Carbon Cub S+ 1.3m, then also know that particular plane has some GPS-assisted features such as a virtual fence and holding pattern. The HobbyZone Carbon Cub S 2 1.3m doesn't have the GPS stuff and will be a little more "normal", but still has the SAFE self-level beginner mode.
The Beginner Mode on both planes probably limits down elevator quite a bit. It's meant to help beginners avoid pointing the plane toward the ground and crashing, but it also makes you feel like you can't push the nose down when you want to.
For the Horizon Hobby-branded aircraft (E-Flite, HobbyZone, Blade), looking at the manual for the real thing can help you understand how the plane is supposed to behave.