exiftool

Rename Photos

Try it first with -testname: 

exiftool -d %Y-%m-%d_%H%M%S%%-c.%%e "-testname<CreateDate" *.jpg

Then rename the files: 

exiftool -d %Y-%m-%d_%H%M%S%%-c.%%e "-filename<CreateDate" *.jpg

Correct the Date of Photos

To shift the photos 43 days, 14 hours and 55 minutes to the future: 

exiftool -AllDates+='0:0:43 14:55:0' -overwrite_original *.jpg
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