(I am only posting this to thank Jenny2 for her nice comment. For her, even if nobody else cares, it is worth explaining my initial response)
Chechilita - I am sure that several of the posters on this thread mean to give you encouragement when you are asking about your stamps, and that is a good thing. I think honesty is also a good thing and there is more to philately than can be easily absorbed from the internet.
First, I call the issuing entity "Papal States" but also listed "Vatican City" as an AKA (Also Known As) because many collectors of Vatican City collect Papal States as a forerunner and many of the pre WWII albums in Italian and Spanish also have the stamps shown along with Vatican City stamps as many Catholics collect Papal States.
With that out of the way, it is very easy to distinguish most all of the used Papal States stamps. A knowledge of genuine cancels used makes it easy to spot, for example, the genuine postmark of Rome on your half bajocci stamp as well as the Bologna cancel on another. The grill cancel on the 1 bajocchi is NOT the grill style found on the Fournier forgeries so it to must be genuine. Also, the dotted cancel on 10c is correct for that issue.
The Papal States does have reprints that can be confused with unused stamps. Bottom line here is that genuine in this condition are not worth anything anyhow and the forgeries would be worth just as much as the real in this condition. The dangerous forgeries, such as Sperati are only the high values (see my web presentation on Sperati forgeries to see examples).
My "home town" collection (my father's parents emigrated from Umbria) includes the cover here which shows late use of Papal States grill cancel from Umbria after Sardinian control of the region.:
http://www.philamercury.com/covers.php?id=12288