Pilot reported multiple traffic conflicts with the flight operations at DKX and TYS due to the airports' proximity and recommended changing the direction of traffic pattern at DKX.

Narrative

I was on an IFR flight plan from ZZZ to DKX; direct; and at 4000 feet and was approved a visual approach into DKX. At about 6 NM from DKX I cancelled my IFR clearance; and changed to local DKX UNICOM frequency. I turned course to the right to set up for a downwind entry for Runway 26L downwind. There were several planes in the pattern at DKX. I was advised by ATC prior to frequency change of a plane at my 2 o'clock below me. I could see the plane on my ADS-B screen. We were converging; I was at 3100 feet and the other plane was below me. We could not see each other but did exchange some verbal acknowledgement while there was a lot of other radio chatter occurring with other planes in the pattern. I decided and announced on the radio that I would do a right 360-degree turn and re-enter the pattern for spacing. As I was making my 360-turn I saw an airliner moving left to right maybe 1000 feet above and 4000 feet ahead of me. The TYS ILS final course would be about where the airliner was. I completed my turn for spacing; re-entered the downwind for Runway 26 DKX and landed.I am not sure what could have been done differently. To summarize; as I approached DKX there was traffic at different positions around the field. The plane that was the biggest conflict was the one to my immediate right at a lower altitude. Then there is the ILS final course for TYS not far from the downwind pattern at TYS. I don't know if it would help to have right traffic for DKX Runway 26 for spacing from the TYS ILS 23? I sometimes think DKX needs a Control Tower. Additionally; when DKX is using Runway 8 and TYS Runway 5; there is potential for climbout conflicts. Could a TYS Approach Controller give an informational presentation to pilots at DKX?