Classification of Polymers

Thermosetting polymers undergo extensive cross-linking on heating and cannot be softened again, so they are not reusable. So 'Thermosetting polymers are reusable' is not correct.

Thermosetting polymers are cross-linked or heavily branched molecules, which on heating undergo extensive cross-linking in moulds and become infusible.
The most common example is bakelite (phenol–formaldehyde polymer).

Neoprene is formed by addition (chain-growth) polymerisation of chloroprene,

$CH_2=C(Cl)-CH=CH_2$. No small molecule is lost.
Melamine (melamine–formaldehyde), glyptal (ethylene glycol + phthalic acid) and dacron (ethylene glycol + terephthalic acid) are condensation polymers, formed with loss of water.
So neoprene is not a condensation polymer.

Starch (α-glucose) and cellulose (β-glucose) are both polymers of glucose; artificial silk (rayon) is made from cellulose; natural rubber is cis-polyisoprene.
Nylon-6,6 has strong intermolecular hydrogen bonding, so it is a fibre, not an elastomer.
So the statement about nylon-66 is false.

The given polymer is Nylon-6,6.
It is formed from two different monomers: hexamethylenediamine, $H_2N(CH_2)_6NH_2$, and adipic acid, $HOOC(CH_2)_4COOH$.
$n\,H_2N(CH_2)_6NH_2 + n\,HOOC(CH_2)_4COOH \rightarrow [NH(CH_2)_6NHCO(CH_2)_4CO]_n + 2n\,H_2O$
A polymer made from two or more different monomers is called a copolymer; a homopolymer is made from only one kind of monomer.
It is formed with the loss of water molecules, so it is a condensation polymer, not an addition polymer.
It is a linear polyamide that softens on heating, i.e. a thermoplastic fibre, not a thermosetting polymer.
So the polymer is a copolymer.