Hello and welcome to JustAnswer!
All of these symptoms point to an internal failure of the radio. All of the items that you have not working, including the keyless entry, are all controlled by the radio. The fact that it is staying on by itself after the rest of the car goes to sleep, clock not working and the loss of the other functions point to an internal failure. I would normally recommend trying to remove power from it and see if operation comes back afterward, but pulling the fuse would do just that and it hasn't helped. The radio will either need to be replaced or it will need to be removed and sent to an electronics repair facility such as United Radio. Often they can be repaired for cheaper than a replacement costs.
so magically enough the radio simply started working again two days later with no issue. will just keep an eye on anything electic related and see what happens. thanks again!