To keep it simple, Agoraphobia can be the fear of leaving one’s own comfort zone (often their homes), though that part is a bit far-stretched since we don’t know much about the MC yet. It just seems like he’s a bit of a hikkikomori (japanese term for a shut-in), but obviously I might be wrong.
Limerence is involuntary obsessing over someone, it typically forms when the limerent person is uncertain whether their “love” is reciprocated or not. I put love in quotation marks because a lot of times it’s less about the person being in love but rather that they desire to be desired by the one they desire. “The experience of limerence can include obsessional thinking about the object of one’s limerent desire, an irrationally positive evaluation of that person’s attributes, and a longing for reciprocation. Limerence can make a person feel ecstatic, their mental life focused on a passionate, anxious desire. It can also result in a state of agony if and when the feelings are not reciprocated.” (Source: https://www.psychologytoday.com/us/basics/limerence/amp) It can happen with people you know but also complete strangers. Mc keeps making up scenarios of his desire being reciprocated and goes as far as deluding himself that his neighbour feels the same, despite there being no indication of it (though for plot reasons, it did turn out he was right lol.) Chapter 5 seems to play a bit into it as well. Take it with a grain of salt though, I just love making up parallels between me and fictional characters.

Mc is giving agoraphobic limerent he’s soo me