I can't tell you anything about the second coin (probably one of the Constantine boys) but the first one has enough detail to attempt an educated guess.There were at least 7 emperors that used the inscription DIVO (then their name) and CONSECRATIO on the reverse,but judging from the length of the points on the crown,I would have to say the most likely candidate is Claudius II Gothicus. Here is an example: http://www.wildwinds.com/coins/sear/s3227.html
That may be a good guess. I've had another poster (on another forum), say the same thing. Someone suggested that the second is Constantius II 337 AD until 361 AD falling horseman, soldier fighting, copper Aes. Thanks for your insight. I really appreciate it.