Thank you for your reply. Could it be a Gordianus I, Sestertius, RIC 10, Cohen 9, rear 8451?
I agree that it looks like a replica, its shape is too good.
I appreciate your opinion, thank you very much!
Yes, unfortunately, the first one looks like (I don't say "is") a replica. What makes me most suspicious is the lettering that looks odd, and cut by someone who seemed not to fully understand the original (the "E"s for example).
At several points on both the obverse and reverse there's also an overlap on the edge; this suggests that the coin was struck with a collar of some sort, something the Romans never did.
As for the other, it looks authentic. I read IMPerator Marcus and then, I think IVLius PHILIPPVS and then, clearly, AVGustus. So, Philip the Arab. If you could try different angles of light it would help to read the legend on both the obverse and reverse.
It looks like a sestertius, but we would know the weight to make sure.
First coin:
Gordian II (son) rather than Gordian I (father); ROMAE type for Gordian I (father) Sestertius does not bear the Senate mention (SC), while his son's Sestertius does. Gordian I and II were co-emperors for about 3 weeks, then explaining the coinage types limited to Sestertius and few Aureus and Denarius.
Obverse : Bust of Gordian, right, laureate, draped, cuirassed.
Reverse: Roma seated left on shield, holding Victory in right hand and leaning on sceptre with left hand.
Should be a Sestertius made with Orichalcum, references RCV#8470 and RIC#5.
Hard to be affirmative without coin in hand, but I will also place it as a Replica (my sole opinion based on pictures) given:
General coin look/feel - toning, obverse and reverse wear, laurel wreath, shield, lettering reliefs.
Lettering as mentioned by Camerinvs - E and R letters on reverse and F letter on obverse.
Upper left wear on obverse is weird and could well be the result of some melting process...a bit like leaving a plastic card on a cooker.
Second coin:
Obverse: IMP M IVL PHILIPPVS AVG - Bust of Philip I the Arab, right, laureate, draped, cuirassed.
Reverse: ANNONA AVGG SC - Annona standing left, holding cornucopiae in left hand and corn-ears in right hand over madius at feet.
Struck in Rome between 244 and 249, references RCV#8990 and RIC#168a.
Sapientiae plerumque stultitia est comes.
Si c'est un grand plaisir d'être reconnu par ses amis, c'est peut-être encore plus flatteur d'être reconnu par ses adversaires.
Be yourself; everyone else is already taken.