Learn English – Position of linking verb “are” in a question

Both expressions are grammatical. The main difference between these two expressions is that the word what in "what questions are there?" is used as a determiner, whilst in "what are the questions there?" it plays the role of a pronoun.

They basically have the same meaning. However, the determiner the in the expression "what are the questions there?" suggests that the asker knows there are questions there but is not sure what they are.

"What are the questions there?"

expected response:

"The questions are ...."

And that is slightly different from using the determiner "what", which suggests that the asker has no knowledge about the subject.

"What questions are there?"

expected response:

"The questions are ...."

or

"There are no questions."

This seems to be an error in the dictionary's listing.

The verb to feel has a transitive sense and a copular sense. When copular, its argument is a subject complement. When transitive, its argument is an object.

In the sample sentence for the questionable entry, the verb is copular. However, that verb is seemed. The infinitive to feel in this sentence has a direct object and is used in its transitive sense. There is no grammatical difference between "to feel no remorse" and "to feel the tension".

Saying that a verb is transitive is the same thing as saying that the verb has an object. Saying that a verb is copular, or a linking verb, is the same thing as saying that the verb has a subject complement. Certainly a verb can be transitive in one use, copular in another. It can't be both transitive and copular in the same use.