Hello,
I tried to see your diagrams and ı couldn't find anything wrong with the second one. As for the first one, it is really difficult to read the elements but I will do it like this:
butter and cheese: double noun phrases
with butter and cheese: prepositional phrase
sandwiches with butter and cheese: noun phrase
tasty sandwiches with butter and cheese: noun phrase (there is an adjective phrase in the noun phrase)
incredibly tasty sandwiches with butter and cheese: I thikn this is a noun phrase which has and adjective and an adverb phrase in it.
are: verb phrase
these are incredibly tasty sandwiched with butter and cheese: sentence
Well, I hope I didn't make any mistakes because I am really really hungry. 