What you should not do is resolve to get published. “Getting published” involves far too many things beyond your control. Far better to resolve to submit two manuscripts. Or write two pages a day (not ten). Or send a query letter every week.
“I will finish my novel” is within your control. “I will sell my novel” is not.
Make your resolutions realistic and manageable, and you’re far more likely to keep them. And, in the end, to get published.
Happy New Year!