the one on the left is a fake that pairs an obverse of Hadrian with a reverse of Trajan
OBVERSE:IMP CAESAR TRAIANVS HADRIANVS AVG; laureate, draped and cuirassed bust right of Hadrian.
REVERSE: SPQR OPTIMO PRINCIPI Trajan walking, l., holding tall staff, crowned by Victory.
in exergue SC
for the reverse-- RIC 549 (Trajan)
the second is a cast of an authentic coin

"Claudius, 41-54. Sestertius (Orichalcum, 36 mm, 33.06 g), Rome, circa 41-50. TI CLAVDIVS CAESAR•AVG P M TR P IMP Laureate head of Claudius to right. Rev. NERO CLAVDIVS DRVSVS GERMAN IMP The Arch of Nero Claudius Drusus: monumental triumphal arch consisting of a single arch and decorated piers set on raised base with four columns supporting ornate attic; attic containing central pediment decorated with simpulum and litui on either side; clipeus and ewer in flanking panels; attic surmounted by statue of Nero Claudius Drusus on horseback to right between two Germanic trophies, striking downwards with spear held in his right hand. BMC 122. CBN 162. Cohen 48. RIC 98."