I think I have a problem with EFI

Hi everyone,

I have a MacBook Pro 13" (2010) with OS X Yosemite 10.10.3. OS works fine, but since few weeks I have the following problems:

- when the battery is low and my mac falls in stop mode automatically (and it copies all RAM contents into hard drive), I plug the AC in and turn mac on but instead of a gray screen and full session restoration (when mac should copy all contents back to the RAM), mac reboot and starts a new session;

- I tried a SMC reset but it doesn't work (I can't see any changing of the AC status LED, and audio volume also doesn't change);

- I tried a PRAM reset but it doesn't work (I hear just one bong sound, instead of two);

- I tried a brand new OS X installation but also Internet Recovery doesn't work.

Can you help me with this?

Thanks!