You use "are" with both "a couple of" and "a lot of". Even though the "a" is present in both " a couple of" and "a lot of", they both refer to more than one object. So you have to use the plural.
New words, one handy idiom, and a 2-minute quiz — delivered to your inbox to keep your streak alive.
TearsofjoyThere is much noise - correct (noise is uncountable)Although grammatically correct, the quoted sentence is not normally possible. It would be much natural to say There is a lot of noise.