As can be seen below I have 1st image an original JPEG image .Second one was taken to buffer image and than save using http://www.lac.inpe.br/JIPCookbook/6040-howto-compressimages.jsp with 1.0 quality . Still image became smaller in size and a really small destortion. Is it possible to save image to its quality as it is ? Pleas not that saving image as it is was just a sample test. After adding text I save it with highest quality which looses information too.


JPEG, even with highest quality settings, is always lossy, even if the original image data came from a JPEG.
There are some operations like rotation/mirroring/crop that can be done lossless on a JPEG (using tools like jpegtran), but these are rare exceptions.
Anyway, it seems you have access to the original JPG image and you don’t change it, so I don’t understand why you compress it again.
If you really have to store such images lossless, best choice would be using the lossless mode of JPEG2000, this gives a smaller filesize than other alternatives like PNG for image data that has been compressed using JPG (although it is still much larger than the original JPG). For example, for the first of your example pictures: