A light plane pilot reported an NMAC with another light aircraft on approach to JXN.

Narrative

I departed 3DA under the FNT airspace; called FNT and told them I was VFR to JXN. They followed me until they handed me off to LAN and they handled me until a distance of approximately 5 miles from JXN. Normally they would hand me off to JXN at about 10 miles; however this time I had traffic 3 miles from myself that LAN was watching. I never saw the traffic but LAN advised that the traffic had me in sight and I should now call JXN Tower which I did immediately at approximately 4 miles distance from the airport. JXN immediately cleared me to land. I was lined up on final and other aircraft behind me were calling in at less than a 5 mile distance and the JXN controller was getting annoyed because they called in after they were in his airspace. I agreed with the controller they were too close but I wasn't concerned about myself calling in at 4 miles because I was being handled by LAN and they are the overseeing authority. However at approximately 1/2 mile from touchdown I had a light aircraft fly directly over me at less than 200 feet and at the same time the JXN tower asked where I was. They do not have radar. When I said I was on short final he then said I must call in earlier. I then landed and while taxiing he asked me how far out LAN told me to call him and I said 4-5 miles. He talked to them and they said I was released much farther out. I explained to him that they were watching traffic and when the other aircraft had me in sight they released me to call JXN; which I did immediately. He said thank you and that was the end of it; I didn't hear anymore about the incident.