Hello
as : is used to describe a similarity to what is mentioned before it , usually in the form of ( as .....as )
He speaks english as good as his friend.
since : means "from that time ,from then till now "
He lives in Indonesia since 2 years.
He got this job since 1 month .
because : gives a reason for the statement mentioned before it .
He can't come ,because he is busy
due to : gives also reason for the statement before ,but the sentence structure is different then when using "because".
He can't come due to his busy schedule , or his busyness .
I hope that is clear enough :)