Mark, your gear can handle a minimum of 300Mb/s.Go straight from your modem to your laptop with your cat5 cable and test your speed. Then call Time Warner and get to complaining. Make them give you free months for half the time since you last upgraded, too.
They did the same thing to us awhile ago. We signed up for the ghastly speed and didn't get it. So I checked the modem they'd provided. It wasn't even capable of delivering the speed they sold us.
So I bought a new router and found that they still had our service capped at the level below what we were paying for.
You'd think they were Verizon, they way they rob a brother. Grrr.
We also have zero drop within 20 feet of our almond router or the Almond range extender.
But what you reported isn't uncommon.
I don't think the slow is because of your router, it's a nice piece of equipment. I'd guess it's the wireless card in that old D620.
You may be able to upgrade the firmware in that card and get better speed, but it's about $150 worth of laptop nowadays. You'll have lots of bottlenecks in the old girl.
Regardless, there's nothing wrong with it.
That's way more than enough speed to do anything she can handle.