Solved -PJ586- You were ready for that!

[Paul Jaray]

Be back soon!

[Otto Puzzell]

1,234 please?

AUTONIQUE

Can it be the lovely Autonique Stiletto?

[Paul Jaray]

I'll also join this crazy puzzle, let's try 1953.

1953: BIOTA

Your score: 0

[Paul Jaray]

Next: 5432

EVERGLADE

No idea, I want to skip it an try #3064.

Everglade Automobile Company, St Petersburg, Florida was going to produce a 4wd car in 1907.
Your score: 162-10: 152
3064: too close to your 3031 guess.

[Paul Jaray]

#500, please.

Happy new Year!

AMERICAN (1)

Happy New Year to you, too.

I couldn't have chosen a more ambiguos name, couldn't I?
I hope it is the earliest one, which would make it the American Carriage Motor Company from New York City, building a two-stroke four-cylinder engined car in 1896.

Precisely!
414+21: 435

[Wendax]

11327, please.

[Paul Jaray]

Thank you...I will leave for a while the seventeen serie....may I have 2550?

BUGATTI (1)

Is it perhaps that obscure marque of not so loved cars, founded in Molsheim by a certain Ettore Bugatti in 1909?  I'm crossing my fingers...

If this game was linked to a fixed list you could be sure of that, but I told you: this is a moving index and numbers may shift.
For example if I add a 'Babbion' your assumption would be wrong....
...but it's not! 

Your new score: 36+204: 240

[Paul Jaray]

Then 10369

10369 is too close to your 10371 previous number.

[Paul Jaray]

1,234 please?

AUTONIQUE

Can it be the lovely Autonique Stiletto?

That's it!
+22

[Paul Jaray]

11327, please.

ORION (3)

Your score:435

[Wendax]

11327, please.

ORION (3)

I have found three Orion car brands, not counting the German bus and truck manufacturer. So, hopefully it is the 1914 British cyclecar called Orion of which the factory location is unknown.

[Paul Jaray]

11327, please.

ORION (3)

I have found three Orion car brands, not counting the German bus and truck manufacturer. So, hopefully it is the 1914 British cyclecar called Orion of which the factory location is unknown.

8.9hp! Correct again.

Your score: 435+21: 456

[Wendax]

Number 5951, please.

[Paul Jaray]

Number 5951, please.

FORREST (2)

[Otto Puzzell]

Great!

1,244, please

[Wendax]

Number 5951, please.

FORREST (2)

Mike Forrest's Citycar: http://www.autopuzzles.com/forum/index.php?topic=5084

[Paul Jaray]

Great!

1,244, please

Your following numbers can't be close to the previous and has to be chosen between 50 more or 50 less.
(example: you try 1234? next ones have to be higher than 1284 or lower than 1184).

Probably the word 'between' is misleading here...I mean 'has to be higher or lower than more of 50 unities'. Fixed.

[Paul Jaray]

Number 5951, please.

FORREST (2)

Mike Forrest's Citycar: http://www.autopuzzles.com/forum/index.php?topic=5084

I was ready with the time range!
...but you found it!

456+21: 477

[Otto Puzzell]

Great!

1,244, please

Your following numbers can't be close to the previous and has to be chosen between 50 more or 50 less.
(example: you try 1234? next ones have to be higher than 1284 or lower than 1184).

Probably the word 'between' is misleading here...I mean 'has to be higher or lower than more of 50 unities'. Fixed.

Ugg - I hit 'modify' instead of 'quote', above.

1,290 please.

[Paul Jaray]

Great!

1,244, please

Your following numbers can't be close to the previous and has to be chosen between 50 more or 50 less.
(example: you try 1234? next ones have to be higher than 1284 or lower than 1184).

Probably the word 'between' is misleading here...I mean 'has to be higher or lower than more of 50 unities'. Fixed.

Ugg - I hit 'modify' instead of 'quote', above.

1,290 please.

AVION

Your score:22

[targhediferro]

I would try with 8875, thank you.

[Paul Jaray]

I would try with 8875, thank you.

LANDSHAFT

[Wendax]

Number 12003, please.

[Paul Jaray]

Number 12003, please.

PLYMOUTH (1)

[Wendax]

Number 12003, please.

PLYMOUTH (1)

A near miss. 
The 1910 Plymouth touring car made by the Plymouth Motor Truck Company of Plymouth, Ohio.