***** NOT A TEACHER *****
Hello, Bebe Heart:
May I just add a few thoughts to the excellent answers that you have already received?
1. When a sentence starts with "there is / are," my books tell me to forget the "there" when you analyze it.
a. Thus: " ___ a lot of people."
i. Now put that in regular order (subject + verb): A lot of people ___. Of course, you would say "A lot of people are."
2. In ordinary American conversation, people also fully accept "There's a lot of people."
a. For some reason (which your humble servant cannot explain), if "There is" is changed to the contraction, then it's perfectly acceptable in ordinary conversation.
i. Compare:
(a) Here is your shoes. (Unacceptable)
(b) Here are your shoes. (Grammatically correct)
(c) Here's your shoes. (Acceptable in ordinary conversation)