It can go either way.
Personally if you eliminate the small balances you have would that put your DTI in the right place? If it would or even make it closer I would just pay them off.
But once again I have seen them be approved with slightly higher DTI.
Now if I was in your situation I would just let it ride its course and see what comes back. Yes it can delay your purchase and we all know how impatient we all are. Lol.
Everyone has different experiences because we all have different income, credit profiles, etc etc. It all plays a part when certain criteria isnt met such as your DTi.
Good Luck
May all your dreams and wishes become a reality!