Was there ever any single that by any given order, it was placed at #1, #2, #3, #4 and #5 in any week of its chart run?

Do you mean that it occupied positions 1, 2, 3, 4 and 5 during it's chart run? Think that's what you're saying!

July 2000 Eminem The Real Slim Shady 1-2-3-4-5-7-8-10-

8 weeks in the top10 in 2000 was very impressive back then

Take That - Patience: 4-1-1-1-1-2-2-3-5-8....

 

Celine Dion - Think Twice: 5-6-4-2-2-2-1-1-1-1-1-1-1-3-4....

Steps - Heartbeat/Tragedy

2-5-5-8-8-6-4-{1}-2-3-3-3-6-10-10...

Robyn - With every heartbeat 5-{1}-2-3-4-7-8

Akon - Smack That: 12-1-2-2-3-6-9-4-5....

What about a single that placed in every position in the top 10 during its chart run?

 

From those above, Steps Heartbeat/Tragedy seems the closest, missing only positions 7 and 9, along with Celine Dion's Think Twice, which only missed positions 7 and 10, and Eminem's Slim Shady which missed 6 and 9.

What about a single that placed in every position in the top 10 during its chart run?

 

Not sure, however Ne-Yo's Closer covered 1 to 8 in 11 weeks last summer:

 

7-5-3-2-1-2-4-6-4-6-8-

 

and All Saints Never Ever covered 1 to 7 in 15 weeks between 97 and 98:

 

3-5-6-5-4-4-4-2-1-2-2-4-5-3-7-

Frankie Laine's 'I Believe' is the nearest I know of

 

11-8-4-{1}-1-1-1-1-1-1-1-1-2-1-1-1-1-1-1-2-1-1-1-2-2-2-3-2-2-4-6-5-7-4-6-10->36

 

 

Only missed no9 :o