Could anyone please
help?
Not
without seeing an example of what you did!
Can
you share a small example using jsFiddle or Plunkr?
What
do you mean by "shift focus"? If they focus another text
box, of course the keyboard is still shown. If the text box is
blurred, they keyboard should hide.
Does
Cordova actually support Android 5.x? Did you check Cordova Issues
list for bugs with Android 5.x?
JQM
1.3 certainly can't be expected to support it, though. It is
too old, and the authors didn't have super-powers to see the
future! ;)