The difference between singular and plural nouns is that a singular noun refers to one thing, and a plural noun refers to multiple things. "Button" is singular. "Buttons" is plural. Most English nouns can be made plural by adding an "s" to the end.

In English, singular refers to just one thing or person, like “dog” or “teacher.” On the other hand, plural means more than one, such as “dogs” or “teachers.” To form a plural, we often add -s or -es to the singular word.

To answer your question: The noun ['problems' or 'traits'], not the word 'different', tells you whether to use the singular or plural verb. In your phrases the nouns are plural, so the verb has to be plural to match them. 'Different' is an adjective, describing the noun that follows, and it has no relation to or influence on the verb.

When a noun indicates one only, it is a singular noun. When a noun indicates more than one, it is plural.

We have another hour. Another difference is that the word different can be used with a plural noun. The word another cannot be used with a plural noun: These are different times.