2002 V-8 Tundra: Locks not responding to remote!!

I have taken this vehicle back the dealer service dept twice in less than a month for the same problems.
First question: I just bought my 2002 Tundra! And I've noticed that the locks are not locking and unlocking with the remote all this time! Works very intermittently! We are having cold weather! Is it possible that the weather is causing the locks not to work properly?!!
Second Question: There is a slight bump or vibration when vehicle is traveling 65mph plus! Dealer has balanced wheels twice! Vibration is very vague, but is still there!

Dealer isn't giving me any service invoices on these repairs!

I don't know about your door locks but by law the dealer HAS to give you copies of your invoices. Threaten them with a lawyer if they give you the run around or ask them for Toyotas corporate number where you can file a complaint. I had to do that years ago and they gave me copies right away.