Just bought 2002 Tacoma, question on keyless entry

So I just purchased a 2002 Tacoma today! Woo hoo! It came with 3 keys, 1 of which was original, the other 2 being copies. It did not come with any keyless entry remotes or anything of that nature.

Having said that, is there a way to tell if my 2002 came with factory keyless entry and maybe the previous owner lost the remotes? If not, what are my cheapest options?

Second question is, when I lock the doors, all the locks go down. HOWEVER, the rear driver side door still opens from the outside, despite the lock being in the down position...what gives?

 

I called the dealer had em run my vin, they say it did not come with keyless entry although it has power locks etc...

 

Hmm, I wasn't aware they could tell you just by the vin. might have to check into that.

 

If you have a glass breakage sensor anywhere on the dash then it has an alarm system, looks like this:
You can also check behind the driver side kick panel or under the drivers seat for the alarm ecu:

 

Same boat as you. Mine had one i think it was factory. but the remote broke, when the first owner had it and he had thrown it away. -_- So not sure what to do?