I have a 1999 Accord EX (4cyl) with 76,000 and two semi-persistent problems.

1. When the car is cold (and generally when it is cold outside), when I turn the steering wheel all the way to either side, as if exiting a parking spot, there is a squeaking, throbbing sound that generally goes away relatively quickly and does not happen again, until the car is cold and I turn the steering wheel all the way.

Is this likely a belt or steering pump issue? I had the power steering fluid replaced at a dealer two years/10,000 miles ago. They didn't say there was a problem and have had other check-ups during routine service and nothing was identified, but then again it only happens when the car is cold and generally when it is cold outside.

2. Sometimes when I start the car and put it in reverse, it doesn't fully engage and it does not accelerate in reverse until I put it in another gear and then back into reverse? Again, this doesn't happen all the time, but has no obvious correlation.

Any ideas would be great. Thanks!