Hard to say really.
Every relationship is different. Some people have to have to have those small little fights, some people need to fight hardcore, some people actually prefer to go to bed angry because they've slept it off and wake up in a better mood, some people fight fight for the make up sex, some people hate to fight at all!
Anyways, I think we always put a lot of guilt on ourselves when we're in a long distance relationship. (I've not done one across international borders, so I can only imagine how immigration woes can factor in. But I had done one across the US, and 4 hours by plane was hard enough, let alone all you folks who do it across the ocean!)
You feel like because you're not around each other all the time,that every minute you speak or talk or see each has to be quality time and if its not, well, then the guilt sets in. We're all human. We all get frustrated, upset, jealous, bitter, depressed, snarky, moody, tired, and cranky and sometimes our other halves get the brunt of our woes. You don't always have to be on form in your relationship, don't feel guilty. All you can try and do is try and make the relationship better,so that you're both happy.
((Hugs))