Yes, both are Type 1's. Here is a pic of a Type 2 As early as April in 1913 the rapid wear in the area of “FIVE CENTS” on the reverse became evident, and the re-designed Type II reverse replace the Type I “Buffalo on the mound”. This solved the reverse wear problem, but the problem of the date wearing down too rapidly on the obverse was never addressed. This oversight has resulted in many millions upon millions of dateless Buffalo Nickels, mostly effecting the early to mid-dates; 1913-1927. Often, dateless buffalo nickels can have their dates "restored" by applying a ferric-chloride solution to the date area and commercially sold as Nic-A-Date.
Thanks for that very detailed answer. Just starting to collect a few buffalo nickels. Was hoping that 13D was a Type 2. Thanks again and stay dry down in Houston (raining like cats and dogs in the Big D)
Your welcome. I use this site quite a bit for reference material. Just click on the type of coin and then click on the blue numbers on the left of list that will bring up some nice pictures too. http://www.pcgs.com/prices/