As per the images you have attached, it looks like there is a gap initially between the faces which are having frictional contact. So, you can try changing the interface treatment to 'Adjust to touch' and see if it helps.
Convergence issues can be very tricky to solve. Can you check what is the exact error you are getting? Also, review Newton-Raphson Residuals to locate the highest residuals, which reflect possible problem areas. Are there loads or supports applied in those problem areas, or are the areas part of a Contact Region? Double-check the model setup as it affects the problem areas.