In India people use to say "Small fights between married or non married couples fasten them together and intend them to realize- how hard it is to live alone without spouse". In general words small fights increase the closeness and increase the flavor of love in life. But always have precaution ..always short out every issues in relationship before it gets to late means turn worse.   But it all depends upon your way how you handle the issue.What you need to do is look at what you're fighting about. Having many  small fights early on is not good in my opinion. If you're already  bickering and fighting with each other, it may sometimes just get worse.  If you're fighitng over stupid things, its a problem. You have to pick  your battles wisely. If you can't bend, compromise, deal with small  stuff efficiently and let things go, etc..these things will keep coming  up.   Relationships don't necessarily last longer because you fight earlier on. You may just have...
Commitment, faith, trust and love are big things to deal with care. A single mistake may cause the biggest pain of being a human with false love, faith, trust and commitment.