Connecticut is a state where attorneys handle drawing up the purchase contracts and the closing documents. Michael, from Minnesota, mentions your deposit being sent to the title company. Some states in the USA have a title company instead of attorneys to handle the documents and oversee the closing. It is the seller's attorney, in this case, that will be receiving your deposit.
And yes, go over the HUD-1 statement with your agent so that you have a better understanding of fees involved.
Hope this clarifies.
Prudential Connecticut Realty