I think you would get more help if you posted each coin individually. Be sure to include size and weight.
I would not buy any of those coins based on the images - but I'm cautious and picky. If a seller can't be bothered to take a decent photo I won't buy from them. If these are your photos I would suggest trying again.
It's hard to tell from these images. First glance, I see nothing amiss, but, like @Jwt708 said, I'd be very cautious and want to check them out from better images or in hand.
Good for the seller. You dodged a bullet. I think most are genuine, the Trajan sestertius tooled, the Faustina the picture too bad I cant tell authenticity. If he got $2,500 for this lot I think he got well over $2,000 too much. Sounds like a scam.
Really? Well this isn't an exact match but if someone was to offer $500 I'd laugh all the way to the bank. But then I'd feel bad
That last one Faustina Temple good detail, if sestertius is quite rare and worth a fair bit of money.
It's hard to tell from pic, but on the temple coin one worry is the left side of Faustina bust it looks like a sharp edge like it's been cut recently, and on reverse the top of the temple is showing hardly any wear compared to the rest of the coin.
Ah, finally got to a bigger screen. I had the Faustina paired to the Juno reverse which it isn't so in the OP. I think I paid around $15-$20 for the sestertius In my reply. I agree still, no way!!