Premonitions or coincidences?

This is a perfectly normal occurrence, commonly referred to as "Deja Vu" or precognition.
Firstly though - the mind has two types of memory, short and long term. Short term memory = things that happened just recently, within a few days. Short term memory is very detailed, but your mind cannot maintain lots of information as short term memory. So things that need to be remembered long term, are transferred into long term memory, usually after a few days. Information can be stored in long term memory for years, but isn't very detailed, and degrades with time.
What causes Deja Vu is a mental blip, as it were. When your mind isn't focusing properly it accidentally stores information you receive from your senses, directly into long term memory. This creates the overwhelming sense of "having seen this before" that is Deja Vu or precognition.

same with me! everytime i think about something, it shows up randomly...like everytime i remember not seeing a movie in a while, it ends up being the movie that plays on tv and when i think of a song it plays on the radio...and the people thing happens to me.

Same thing happens with me , if i dream of someone , I will run into that person while store shopping
If i am thinking of someone , I will run into them while shopping

The human brain is a curious thing. The subconscious can pick up on things which the waking mind would never see, hear or feel. Scientists still don't know much about the mind's workings.

I myself have similar experiences. I think of a person and within a day I have seen them or heard about them. I think of a song, movie or topic and all of a sudden I hear it on the radio, see it advertised or someone begins talking to me about it.

These things happen in some extent to everyone. The difference between you and someone who could call themselves psychic would simply be how well their waking mind is tuned in to their subconscious. We are being blasted with influences from everywhere - it's simply how well we can decipher them. Some people may have deja vu from time to time, others may predict things - it's normal and the fact you've noticed it goes to show that you are more aware of your subconscious than many others.