....The weakness of the character will be the double whammy of the DK’s lower dps, combined with the Nord’s lack of offensive racial passives (they’re all geared to tanking). So, to overcome that you’d want to boost their damage where you can.
The CP system will help greatly if you have CPs. Using medium armor and offensive sets like Hundings Rage will help, or a good monster set can help. Then you’ll want to think about the skills you slot so that you get as many buffs as you can. I’d also experiment between a 2h front bar or dual wield, personally, as dw might putmout more damage. But if you love 2h it can work.
For what you’re wanting to play...the majority of PvE content in the game...you’d have a character with good survivability, who moves a little slower through content due to lower dps, but who should be fun to play with the right combination of abilities and gear. Plus he’d have one of those sweet Nord accents.