Boyfriend keeps checking up on me on social media. Why is he doing this?

Anonymous
I've been dating this one guy for 6 weeks or so now. Everything is really great and I'm happy to be with him.

But I've realised once or twice that he looks at my caller ID over my shoulder whenever someone calls. One time one of my friends called me and he said 'Who is ___?'

Yesterday we were hanging out and I caught his eye when he was looking at my phone, which I had left on the couch (I was just surfing through my newsfeed on facebook)

He even seems to be checking up on me on whatsapp to see my 'last seen' activity when I don't text him throughout the day.

Could he have insecurity issues or is it normal for him to be this curious?
Boyfriend keeps checking up on me on social media. Why is he doing this?
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