welcome to genvibe.
There are lots of members who'll weigh in on this, but help us help you by providing the year and model (base, GT, AWD) and mileage.
glendathomsonwalker wrote:whenever I turn on my car… it screeches…
This could be a loose serpentine belt. Easy to check if you can press down on the belt (engine off and cool, of course) and deflect it more than 1/4" or so.
glendathomsonwalker wrote:almost like the car runs so quietly, that it is already running and I try to turn it on….
Trying to start any car when the engine is already running can damage the starter. If you've done this a few times, a new starter may be needed. You can tell it's running by looking at the tachometer- it's the large dial on the left and if it's not on zero, it's running.

Do you have any trouble starting the car? Do you sometimes hear the screech, but the car doesn't start?
glendathomsonwalker wrote:but, the build-up of oil pressure and to fix this I need the Timing Chain replaced… and because of these new cars the whole side of the motor needs to come off to fix it….
($1500 estimate)….he says it is ok for now but as it gets worse the screech will happen at other times beside turning the car on… even while I am driving… the longer I leave it the worse it will get… and the worse it gets the more $ it will cost to fix it….
Timing chain itself is unlikely to need replacing, though there are related parts (tensioner) that might. It is an expensive job (5 hours of labor plus parts), but that sounds a bit on the high side.