Thought things were going well after I cheated

Ashamed yes...its been 6 months...We are working through it. We have been together for 13 years...

I thought things were going as well as you can expect.

until i saw he was looking up the guy i cheated on him with on Facebook this morning, Which he has not done in 4 months...

he said he will never let this go, never forget. that is understandable...

He thinks when people honk near or by our house its that guy (We live on the busiest street in town) I tell him don't we have many friends and family who honk driving by our house or wait are we the ONLY house on this street? jesus H ....

He thinks when i text my brother I am texting that guy

He thinks he sees this guy all the time out in public...

he thinks so many things and I get what i did was wrong but i just want proper healing for him...how do we go about this?

I told him looking that guy up won't fix anything.....