Relationship issue???

I recently start a relationship with this guy I know from work. We've been together almost two months now. I believe he told his buddies and family that he is seeing someone.

Here's the situation. I attended his father's wake last week. I introduced myself as his girlfriend to his mother and brother. He did not have a chance to text me until today. Surprisingly he thinks that it was not appropriate to introduce myself as GIRLFRIEND at this time. My intention to attend this wake was not trying to tell his family I'm his girlfriend or I'm exist, but it seems like he misunderstands it. He believes it would have better to say I'm his friend or coworker. His reason is it will be tough for his family to deal with that at that time.

I understand they are going through a tough time, but I only pay my respect to his father. I don't understand him sometimes. I know he told his family about me, but why he said stuffs like this ( address myself as friend or coworker instead of girlfriend). Am I not his girlfriend, but why he kissed me then? (.\/.)

Please! Help me out here. I'm not good at dating or understand guys.

Ps: he is in a mad stage right now with his loss. Is that why he acts this way?