Why is sculpting causing trouble with object? Here I am sculpting in sculpt mode 

But for some reason when I go to object mode, the object starts to stretch some parts-
This is how it looks in edit mode-

If anyone could help, I would really appreciate it!
It could be due to the shading in different mode. I suggest to switch to sculpt mode and smooth out these areas and then come back to object mode.

You can also have a look at these areas in edit mode and you will see if there are distortions.