I am looking to diagnose a reoccurring problem that seems to be getting worse

What is your question?

my cavalier convertible has a list of symptoms as follows..1)cold start issues (always), cranking it 5 times before it starts 2) very rough idle at times 3) running way too rich (always) 3) poor gas mileage (always) 4) stalls when coming to a stop (sometimes) 5) running hotter than normal (always) 6) hesitation (jerking) upon acceleration from a stop (sometimes)7) excessive carbon build up, sometimes backfiring on start 8) idle will fluctuate up and down even in drive (sometimes)...The problem seems to be getting worse............the vehicle has 123,000 miles and no check engine light is on. Can one sensor be causing all these issues???