The first coin is almost certainly one of the Ptolemies. However, the appearance of bust, eagle, and legible writing don't tell me enough to say which one. Below I attach two examples from Ptolemy II and III. The reverse legend on your coin appears to have, in Greek, part of 'PTOLEMAIOY BASILEOS'. There may be some member here who has experience with these coins who could say more.
The second piece could be any number of Middle Eastern copper coins.I think it looks like an Arabic copper coin. Aidan.
