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Each line has an answer. Each line's answers are clues for the paragraph's answer. Those in turn are clues for the section's final answer. The five final answers form a list composed by me.

Partial answers are welcome.

Number five

A side spin in pool or a man from Ross-on-Wye,

with rocket or mad; someone from TSRI,

the father of Jacob or writer of scifi.

The flakes that keep floating around in the cold air,

the colour of what you find just outside Dover,

a melon, banana or lime or d'Anjou pear.

With murder, extinction; a Catholic sermon,

a luminous square in the birthplace of Merman,

increase in velocity can be determined.

Number four

The Pianist and Chinatown director's first name,

with Weimar or people's; most countries this form claim,

some twelve of these were understood by John Paul's brain.

"What's up", a term used by a Bunny quite snidey,

profession of J. Jonah Jameson in Spidey,

creator of Windows, IT house now mighty.

A stingy thing followed by golf exclamation,

the dominant degree in chordal progression,

between Mike and Oscar in NATO's expression.

Number three

A city that always (some claim) is too windy,

a nightclub with theater, a place for a shindig,

the animals which are called Billy in Hindi.

A German word meaning a cellar or basement,

the husband of Marge in prime-time entertainment,

with woman or one hit; a term of amazement.

Deciduous trees used for veniks and vihtas,

the top-level domain for Indian tweeters,

the most-spoken Germanic tongue with Norse features.

Number two

With path or star; something that sparkles or lustres,

the first name of Trinity and Leia's actors,

distress just loves company despite all factors.

Both red and white ones are found inside the bloodstream,

the ink on one's skin used to illustrate some theme,

the pope's Swiss ones are a protective escort team.

A little naïve girl who gets herself eaten,

in 2007 World Series unbeaten,

the world's tallest trees are found nowhere near Eton.

Number one

An organ two of which you have close to your nose,

tall structure that's linked to no castles or châteaux,

through Oxford and Reading this waterway outflows.

A term coined by More in his 1516 book,

what black is to white and what hook is to unhook,

with tense or bright; forecasts predicting its outlook.

In contrast to alien, a.k.a. Earthling,

between quid and quo, or professional's shortening,

in Genesis; making of something from nothing.

Extremely Partial Answer

Number five

A side spin in pool or a man from Ross-on-Wye,

ENGLISH

with rocket or mad; someone from TSRI,

SCIENTIST

the father of Jacob or writer of scifi.

ISAAC

So this refers to

NEWTON.

The flakes that keep floating around in the cold air,

SNOW

the colour of what you find just outside Dover,

BLUE (as in water?)

a melon, banana or lime or d'Anjou pear.

FRUIT

This refers to

??

With murder, extinction; a Catholic sermon,

MASS

a luminous square in the birthplace of Merman,

FORCE?

increase in velocity can be determined.

ACCELERATION

This refers to

NEWTON’S SECOND LAW

Altogether...

??

Number four
The Pianist and Chinatown director's first name,

ROMAN

with Weimar or people's; most countries this form claim,

REPUBLIC

some twelve of these were understood by John Paul's brain.

APOSTLES?

This refers to

SAINT PETER?

"What's up", a term used by a Bunny quite snidey,

BUGS

profession of J. Jonah Jameson in Spidey,

EDITOR

creator of Windows, IT house now mighty.

BILL? GATES?

This refers to

A stingy thing followed by golf exclamation,

Bee+fore = BEFORE

the dominant degree in chordal progression,

FIFTH

between Mike and Oscar in NATO's expression.

NOVEMBER

This refers to

GUY FAWKES

Altogether:

??

Number three
A city that always (some claim) is too windy,

CHICAGO

a nightclub with theater, a place for a shindig,

the animals which are called Billy in Hindi.

This refers to

A German word meaning a cellar or basement,

KELLER

the husband of Marge in prime-time entertainment,

HOMER

with woman or one hit; a term of amazement.

WONDER

This refers to

HELEN

Deciduous trees used for veniks and vihtas,

BIRCH

the top-level domain for Indian tweeters,

IN

the most-spoken Germanic tongue with Norse features.

DANISH

This refers to

Altogether:

Number two
With path or star; something that sparkles or lustres,

the first name of Trinity and Leia's actors,

CARRIE

distress just loves company despite all factors.

MISERY

This refers to

Both red and white ones are found inside the bloodstream,

CELLS

the ink on one's skin used to illustrate some theme,

TATTOO

the pope's Swiss ones are a protective escort team.

GUARD

This refers to

The MILITARY/POLICE?

A little naïve girl who gets herself eaten,

in 2007 World Series unbeaten,

BOSTON

the world's tallest trees are found nowhere near Eton.

REDWOOD?

This refers to

Altogether:

Number one
An organ two of which you have close to your nose,

EYES

tall structure that's linked to no castles or châteaux,

TOWER

through Oxford and Reading this waterway outflows.

THAMES

This refers to

A term coined by More in his 1516 book,

what black is to white and what hook is to unhook,

OPPOSITE

with tense or bright; forecasts predicting its outlook.

FUTURE

This refers to

In contrast to alien, a.k.a. Earthling,

between quid and quo, or professional's shortening,

PRO

in Genesis; making of something from nothing.

EVE

This refers to

Altogether: