Rests rhymes with:
breasts, crests, arrests, attests, bequests, best's, breasts, chests, crests, digests, divests, fests, guest's, guests, guests', infests, invests, jests, midwest's, molests, natwest's, nests, northwest's, norwest's, pests, quests, reinvests, requests, retests, southwest's, suggests, test's, tests, tests', vests, west's
Rests sounds like:
racists, rackets, racquets, ragtag, rastus, reacts, recedes, recites, regattas, rejects, requests, requisites, resets, resides, residues, resists, restage, restates, restock, richts, rickets, ricketts, right's, righteous, rightish, rights, rights', rigidities, riksdag, roasts, rocket's, rockets, rockettes, roget's, rosettes, rosewood's, rostuca, rushdie's, russets, rust's, rustic, rusts, rusty's, rustys