The following packages will be REMOVED:
  linux-image-3.10-3-amd64
The following NEW packages will be installed:
  libcgi-fast-perl libfcgi-perl libyaml-syck-perl
The following packages will be DOWNGRADED:
  initramfs-tools libdate-manip-perl munin munin-common

You are running a kernel (version 3.10-3-amd64) and attempting to remove the same version.
...
It is highly recommended to abort the kernel removal unless you are prepared to fix the system after removal.

gayan@deb:~$ dpkg -l | grep linux
ii  linux-image-amd64                     4.9.25-1~bpo8+1
ii  linux-image-3.16.0-4-amd64            3.16.43-2
ii  linux-image-4.9.0-0.bpo.3-amd64       4.9.25-1~bpo8+1

gayan@deb:~$ dpkg -l | grep linux
ii  linux-image-amd64                     3.16.43-2
ii  linux-image-3.16.0-4-amd64            3.16.43-2

apt-get -t jessie-backports install linux-image-amd64

apt-get install linux-image-amd64