1. I seem to sense a correspondence between a proper noun and uncountable noun in terms of their ability to accompany English articles. Is it unfounded or baseless?

Case in point: name of a street which normally doesn't have an article in front of it:

..., a pastor of the influential Park Street Church at the edge of the Boston Common, ...

I think one can substitute in the part interested a last name to make something like this:

... the influential Smith has decided to enter the race.

Could a person do this to all proper nouns?

2. Why isn't there any article in front of this?

... paying respects at Babaoshan cemetery in Beijing ...
1. It may be unwise to say that something can be done to all proper nouns in English because there seem to be so many exceptions to every rule. However, using a and the with proper nouns in certain contexts is normal. The of-genitive - or of structure - or whatever you prefer to call it often requires the:
the England of my dreams
An adjectival attribute is a common reason for a:
We saw a sad George Bush on television last night.
He wants to live in a different England.

2. The names of cemeteries are not listed in grammar books as requiring the. Moreover, it is normal that if a name is made up of a proper noun plus a common noun, no article is used:
Gatwick Airport, Oslo University, London Bridge, Westminster Abbey
Thank you. What threw me off was the non-capitalization of the first letter of the word 'cemetery'. A common word plus non-capitalization could make it necessary to have an article, at least for the sake of the common noun, at least to me. Can you tell me what the reason for that possibly be?

... paying respects at Babaoshan cemetery in Beijing ...