Thanks everyone.

My daughter helped me and I will explain the solution just in case someone faces the same problem.

Actually, very few people will ever face this problem because most people use one phone for everything ( phone calls, SMS, WhatsApp ..etc.) and will therefore utilize the same contact list. My problem started because I am using phone just like te old days (phone calls only) , and use a stationary Tablet for WhatsApp and other social media (mainly because larger screen ). A simpler straight forward option is to have two separate SIMS for the two gadgets, but the option to use one SIM is available , if you know how.

My WRONG way to use the tablet to display WhatsApp, was to install the App on tablet and follow the installation instructions, which lead the tablet to be a mere screen display for the phone WhatsApp. Linking the two gadgets makes the tablet nothing but a bigger screen for the phone when you are using WhatsApp

The CORRECT way, when you install the App on the tablet , and start it, since it has no SIM and no number , it asks to link to the phone with SIM. Do not link. Rather follow the 'fine print' , I mean the other option at the bottom of the page, which leads you to input the country and phone number, Then choose the option of sending new WhatsApp code via SMS on that phone number. In this case, the tablet only gets the code to utilize that phone's WhatsApp contents and the code to access them. Since this option does not include the contact list , it will ask your permission to use the local (tablet) contact list and media, which I gladly clicked .

Problem solved, and the phone's WhatsApp chats were transferred to the tablet, while using the contact list of the tablet itself.

I hope my mumbo jumbo is clear enough , LOL.