How do I fix the issue of my computer crashing wehenver I try to render an animation in blender cycles?

I use Blender 2.79 because the newest version doesn’t work on my old computer. My Computer crashes whenever I try to render an animation with 185 frames in Blender cycles. I tried both exporting it into an mp4 file as well as png files. Exporting into mp4 doesn’t work at all. When I export into png files, my computer crashes after rendering only 1 or almost 2 frames out of 185. It also crashes when I just go to rendered view and want to see a preview of my animation.

To fix the issue I tried to enable gpu render but I had a problem that I couldn’t enable it when I go to user preferences -> system. So I wanted to download a driver like explained here ( Enabling GPU rendering for Cycles? ) But I realized that my graphic card is not supported so I couldn’t do anything.

Now I don’t know what else I could try. Maybe my computer is too old to handle it? Is there anything else I could try?

edit:

about the project I am working on:
I have a scene with a house that I made using a bunch of images as planes. I only used the knife tool, loop cuts, extractions and intrusions to make the house. I’m new to blender so it was made in a very easy way. I was trying to follow this tutorial (https://www.youtube.com/watch?v=Ff0aobJRSNc) of turning a 2D art into 3D. I did not use modifiers or particles. I made a path for the camera movement. And I also have another image as plane (a video of leafs that I edited in the node editor to make make some parts tranparent). The idea was to make some leaf shadows appear on the house.

additional info:
vertices: 1,479
faces: 1,032
Tris: 2,396
Objects: 30
1 lamp
Mem: 24.87 M

Dimension: 1080px x 1350px
185 frames

I don’t understand "samples" so I have a screenshot

info about my conputer:
probook6450b
Intel(R) Core(TM) i5 CPU M520 @ 2.40 GHz 2.40 GHz
RAM 4,00 GB
system 64 Bit