Thank you Tereza V. and Eddy for your input, much appreciated. I believe you have solved the part of the problem.
I bought a new phone because the previous one had function issues after being dropped.
I put the chip from the old Mobile in the new mobile, and the USB modem chip into the old Mobile. The USB modem chip is the 'friends number'
So, I can understand the New Mobile sending messages to the mobile with the USB modem chip.
What seems confusing is that the mobile with the USB modem chip was hard reset to manufacturers settings by the shop I bought the new phone.
Both the new Mobile and the old mobile with the USB modem chip sent many messages to themselves, these numerous messages were sent at exactly the same time and on many occasions.
While I can understand the SMS's from both mobiles to the Czech Republic now, I can't understand the many SMS's sent at exactly the same time, that both mobiles sent to themselves on a number of occasions. Are these SMS's part of the same issue?
I have temporarily deleted the online Avast account for the Mobile as a temporary action, this also deleted the mobile with USB modem chip number I assume. The reason is the large number of SMS's being sent are expensive.
Any ideas welcome.