Is he giving mixed signals or am i the one who’s obsessed??

Okay so i met this guy on bumble on 1st of December. He was traveling in my country for a week, (but looking for a relationship on his profile) so i didn’t expect anything serious out of this encounter and i went out to meet him just to get nice dinner and socialize, or sex if i got lucky.

To summarize everything, after the first date we got on like a fire so we cleared all of our schedules while he was here and we hanged out as much as we could.

After he has retuned to the states he constantly texted me NON STOP 24/7 (he even bought wifi on board plane just to chat with me) and he constantly tells me that we should make a concrete plan to meet each other again. He also mentioned numerous times to come to the states and live with him, each time bringing up cute excuses for me to live with him.

He also told me that he has told a couple of his co-workers and his close friends about me, and he always mention about future together, asking me if i want kids next time, where we should travel together next, etc etc.

So i get that he is serious with me. However, something’s been bothering me, that he hasn’t brought up the exclusivity yet, like he doesnt ask me to be his gf and this is bothering me. Also yesterday he took 3 hrs to reply to my texts because he told me he was busy at work (usually he takes less than a sec to reply back, 98% of the time). Even tho when he came back home we were texting ljke fire again. (But he went to sleep earlier than usual)

One thing u shld take note of his personality is that he is very shy and a little indecisive and very very careful around me, because he is always looking out to how i feel and think. So maybe this is the reason why he is holding back on the gf thing, just in case i feel overwhelmed or sth. (But this is just my guess i may be wrong)

So in conclusion the fact that he has been a little distant lately and he’s still not bringing up exclusivity is bothering me. I know its only been 19 days since we’ve known each other, but I’m just worried. Am i obsessed??