Thank you all for your help.
I thought I should give you an update.
Given some of the posts here and found through Google, I decided to try to rule out the replacement Access Point. I exchanged the new with the old Access Point to see if that might fix things.
As of the past 4 days, I've only had 1 changed ethernet connection and 1 flip flop. So I'm leaning towards the Access Point being the culprit.
I've contacted the Access Point supplier to see if by chance the box is sending out DHCP connections even when it is supposed to be turned off.
Will report back as I learn more.