Lighter is better for the core. Oak will work, but walnut will be better.
Maple can be used for back and belly, but it's not the best for either. It's decent for the back though, depending on the belly wood used.
As for backing woods I'd recommend Hickory, White Oak, Bamboo, or maple.
For belly woods I'd recommend Ipe, Osage, Yew, maybe hickory. Alot of the other tropical hardwoods will work (i.e. massaranduba, jatoba, cumaru, zebrawood etc.) but Ipe is generally regarded as king and doesnt cost a ton.
I use Titebond III for my all wood laminates and it workls well. I don't know if it's available there in croatia but it's cheap here in the US.