German Script Assistance, Antique Melone / Bowler Hat

I am a collector of German and Austrian vintage hats.  I have an old Melone/Bowler hat and the following writing was found on the back of the liner.  

https://c1.staticflickr.com/5/4321/36119419996_7b109167e7_b.jpg

I am thinking this hat is from the early 1900s but was hoping the script might help with the dating.  

This letter is on the sweatband.  I am thinking it might be a Fraktur "I" or "J".    

https://c1.staticflickr.com/5/4301/36142794076_1c38722b3e_c.jpg

There is also the use of inches witch I was thinking might be German Zoll measurement.

https://c1.staticflickr.com/5/4325/36119417826_b738d7503c_b.jpg

This is the outside and inside of the Melone/Bowler.

https://c1.staticflickr.com/5/4198/34828942066_aa573e2f00_b.jpg

https://c1.staticflickr.com/5/4157/34737103311_e13b713d24_b.jpg

https://c1.staticflickr.com/5/4274/34024926574_d7f0dbea2d_b.jpg

Thanks for the help!

-Steve