Hi Taqwa,
I don't think you will find anyone here who will do your homework, you need to make a start and give us something to work with, but to get you started I would suggest you give each of the traffic lights a name (or number), just something to identify them easily (it could just be 1 to 4).
I would then write down the colour sequences of all the lights (hint you have 13 lights) and the elapsed time. You can start anywhere but I would start with all lights red.
Example in the UK we have:
30 sec Red
5 sec Red and Amber
25 sec Green
5 sec Amber
Back to start
Another way to look at it:
0 to 30 seconds Red
30 to 35 seconds Red and Amber
35 to 60 seconds Green
60 to 65 seconds Amber
then back to start.
Don't try doing any programming until you have written down all the sequences.
There are many different ways to programme traffic lights, in order that we don't try to tell you a method that you haven't already studied let us know the PLC instructions that you have already been taught.
Good Luck.