While you can do what you want, a few points.
Multiclassing a spell casting class with barbarian is poor synergy. Barbarian rage drops spell concentration and prevents spell casting. You want multiclassing synergies that compliment each other, not two classes that compete with each other.
You could go Draconic bloodline sorcerer mixed with Paladin. Both use Charisma for spell casting, and it’s a common pairing. Sorcerer specializes in throwing bigger, more powerful spells than wizard, but they have less utility. They get their power through their ancestry, in this case being the descendant of a dragon.
You will need to decide what your character mainly does though, as you won’t be equally good at both melee and spellcasting. Pick one primary class and another secondary. There are builds with more intricate breakdowns, but leave those aside until you learn the rules. Since sorcerer / Paladin is a common build, it is easy to research, and I’d recommend as much.
Also, consider what order you want to multiclass in. If you want to be mainly a sorcerer, start with one level of Paladin for the armor proficiency and then boost sorcerer until you have some descent spells. The respec is forgiving, so experiment around with a level distribution that feels good for you once you have several levels under your belt.
If you want to be mainly an axe swinging melee character, hit level 5 for multi-attack before bothering with a few levels of spell casting.
For this character’s stats, STR, CON and CHA are important. DEX, WIS, and INT can be as low as you are comfortable with.
