A car has tyres. Maybe you tire of doing homework. That's the spelling everywhere except in the US.
The noun "tire" already is American English; the British spelling is "tyre".
Tyre is the British spelling for 'tire"
One example of a word that uses British rather than American spelling conventions is "colour" (U.K.) instead of "color" (U.S.).
The British spelling of skillful is skillful in a British accent
The word is spelt as you have in the question. As it happens, there is no difference between the American spelling and British spelling of the words.
Yes, the spelling of the word 'recognize' is American English. In British English, it is spelled as 'recognise'.
The British English spelling of marvelous (astonishing; wonderful) is marvellous.
The correct spelling is "modernize" in American English or "modernise" in British English.
centimetre (British spelling), centimeter (U.S. spelling)
The spelling is usually one word, styled YouTube.
You can use a program like myWriterTools to automatically change British spelling and word usage to American spelling and usage, or vice-versa.
The word "specialise" is the British English spelling of "specialize" (US spelling).