There's no avoiding it: every couple gets in fights from time to time. Some fight every day, while others fight maybe once every few months. There's no magic number, but whatever the case, it's normal to butt heads with the one person you spend the most time with. We're sure most of you can probably remember clashing with your siblings when you lived with them growing up.
The way to tell if he loves you is if it's impossible for him to stay mad for long. Once the initial heat of the argument has simmered down and he has a moment to reflect, he usually realizes that it's pointless to hold a grudge - he'd rather spend the time being happy with you. The cutest thing about it is that he won't even stay mad if you're the one in the wrong.