Should I or not?

It doesn't matter that he doesn't hug or kiss you. He is uncomfortable. He loves you, he doesn't need to prove it to you, if you want him to, that's wrong. Take his word for it when he says it. And little arguments. They are little, they always happen.

Arguments over petty stuff is normal, without arguments there is not good relationship. You can't always be happy its life.

I exactly know what you mean about the love and affection part in public. It feels good to know that not only you but others know that this man is deeply in love with you, yet he's not showing it.

You should ask him y the only time he is affectionate to you is when you ask him to be......
You shouldn't have to ask him, he should do it on his on and he shouldn't be forced

Maybe he's just not looking at it in your perspective
Make him see what you see

Some people just aren't that into PDA. My boyfriend isn't and he's openly told me that he feels uncomfortable just hugging in public. It has nothing to do with him not finding me attractive or is ashamed of me. He just thinks that it's more meaningful if it's done in private. And it was a hard lesson for me to learn that his view of affection isn't quite the same as mine. I can't speak for all guys, but some show it in less than obvious ways in the little things they do.

2 years is a long time to be with with someone. He must really care about you to still be with you. Don't hate me for saying this, but if you need him to reassure you that much of his affection for you I don't think the problem is with him.