Does trezor re-use addresses?
IIUC, the trezor device itself is not involved in that decision. It is up to the wallet that trezor uses, which can be mytrezor.com, Mycelium, Electrum, and maybe others. All of those wallets will not re-use address in their normal use.
Are coins stored on a trezor safe from quantum computers maybe 10 years in the future?
IIUC, trezor uses the same key generation and length as other Bitcoin implementations, so the risk of which you speak is no different.