new ancients, need help with attribution

i found these in an antique store this afternoon. i need some help attributing them. thanks in advance.

first coin: (with what i think the attribution is)

constantius ii, ae, 18mm
obv: diademed, draped, and curiassed bust facing right. DN CONSTAN-TIVS PF AVG
rev: soldier spearing fallen horseman, horseman with raised left arm. FEL TEMP REPARTIO. ASIS in exergue.
(ric viii 350)



second coin:

constantius ii, ae, 14mm
obv: diademed, draped, and curiassed bust facing right. FL IVL CONSTANTIVS NOB C
rev: two soldiers, one standard, "o" in standard. GLORIA EXERCITVS. TRΓ in exergue.

 

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I suspect the second is mintmark TRP rather than gamma. Trier used ordinal abbreviations P=Primus, S=Secundus T=Tertius rather than Greek numerals.

 

i wasn't aware of that. thank you!

 

someone correct me if i am wrong with this, but i believe the 1st coin was struck between 337 and 361, while constantius was augustus. the 2nd coin was struck between 324 and 337, while constantius was caesar. am i correct?

 

Yes, Constantine I never shared the title Augustus with his children but the three boys assumed it immediately on dad's death in 337.