I have been to IH 3 times in my life. I LOVE it!!
Yes, that statue of Commodore Barry is in back of IH. There is a statue of George Washington in front of IH.
Christ church burial ground is the final resting place of 5 signers of the Declaration of Independence, including Benjamin Franklin.
The Constitution Center is only about 7 years old, but it is also a must see in Philly.
Carpenter's Hall is about 2 blocks east of IH, that is where the 1st Continental Congress met from Sept. 5 to Oct. 26, 1774.
Congress Hall is adjacent, west, of IH. They met there form 1790-1800. The SC met at Old City Hall east of IH.
Betsy Ross' house was fun to tour.
The Liberty Bell pavillion is also a MUST see, right across the street/lawn from IH, north of. On my first visit in 1975 it was housed in IH, and I actually got to touch it. Now, although you can look right at it up close, no touching is permitted