Dell E6400 - Screen resolution will not display 1920x1080 via VGA

I have a situation very much similar to the one described in this post below.

My machine is Dell E6400 in its lowest configuration and default video card, et cetera.

I got a Dell 2312HM monitor that's capable of 1080 and the highest I see available is 1600 x something with 1920x1080 not even shown. 1600x BTW looks awful. It runs by default the "recommended" 1366x768.

I deactivated the notebook screen, shut down the lid making the 2312HM the only screen to no avail.
I downloaded the driver for the 2312HM also to no avail. What else can I try?

I am running this via VGA port, could this be the problem, should I get the Display Port cable? There is no HDMI in the laptop computer, just DVI/VGA and DP. I was under the impression that VGA can display 1080.
I was also under the impression the stock video card can run 1080p.

Screen resolution will not display 1920x1080

Problem- I have Sony Vizio, display name of E320VP, 1920x1080. When I right click and go to screen resolution it will not let me go pass 1366X768. I have tried using amd vision and clicking on use EDI and it helps and shows 1920x1080. However under screen resolution when I right click on my desktop it still will not let me change and only shows 1366X768.

Also while running games, 1920x1080 is not an option for me to select under screen resolution.

How can I fix and or solve this problem. Thanks in advance.

I will try the Display Port cable. Wil also try to update the Dell stock GPU unit. Update the diver.

Are you saying if I use VGA, 1080 will not even show up in the options list? And will work with DP?

It does not show up on the list. What to do?

No, it's the most base form.
What is the default in that. I did not see a graphics card.

I see...