• The correctly spelt word is archaelogy.
• The correct spellings of the other words are psychology, apology, criminology

• The misspelt word is sculpter
• The correct spelling is sculptor

• The misspelt word is brillient
• The correct spelling is brilliant

• The misspelt word is superseed
• The correct spelling is supersede

• The misspelt word is sufferred
• The correct spelling is suffered

• The misspelt word is magnificient
• The correct spelling is magnificent

• The misspelt word is oppertunity
• The correct spelling is opportunity

• The misspelt word is performence
• The correct spelling is performance

The correctly spelt word is aeroplane

• aeroplane (British English)
• airplane (American English)