help me to correct the sentence. Thanks

  1. This pair of shoe is new.

In your case, I would rely on the following:

“Rule 1: If the noun pair is present, use a singular verb:
(1) The pair of trousers belongs to Jane.
(2) A pair of scissors was found.

Rule 2: If more than a pair is referred to, use a plural verb:
(3) Several pairs of shoes are missing.
(4) Two pairs of spectacles were found at the pool.

Rule 3: If pair is absent, use a plural verb:
(5) These scissors are blunt.
(6) Those shoes don’t belong to him.” … users.html

Also, “9. Words such as glasses, pants, pliers, and scissors are regarded as plural (and require plural verbs) unless they’re preceded the phrase pair of (in which case the word pair becomes the subject).
• My glasses were on the bed.
• My pants were torn.
• A pair of plaid trousers is in the closet.”