Student or Learner
I was taught Countable Nouns is followed by "are" and Uncountable Nouns by "is" in negative form.
"There is no money in my wallet".
"There are no interesting places".
Is that right?
Your examples work just as well in the positive form.
'There is plenty of money in my wallet.'
'There are lots of interesting places to visit.'
There's no need to capitalise 'countable and uncountable nouns'.