The bottom left of the Infinity logo isnt hand written, it looks like weights of Copperplate. The right looks like Cariola Script or Carpenter Script.
http://www.fonts.com/font/image-club/cariola-script/regular

I suppose you mean the "Infinity" script at bottom right?
It is published as Carpenter Script by James West (GroupType, 1993-06), also published as Carpenter ICG by Image Club Graphics and digitized as Carpenter Script by Dan X. Solo. (1999, Dover Publications CD)
It's also available as OPTICarmella HandScript (Castcraft Software, Inc. 1990-1991) and cloned under different names by several well-known font forgery companies like NovelFonts, FontBank & SoftMaker.

I don't know what "sweet paper" is, but some contrast & perspective correction might help somebody else to find out:

"sweet paper" and most of the rest on the first sample is Brownstone Sans (possibly the ornamental frame too).