Can a standard 15A receptacle outlet handle a 15A draw on each outlet simultaneously?
No can do. You can't have a 30 Amp breaker feeding 15 Amp outlets. You can run a 14/3 NM and have a MWBC with two hot legs,different legs, a neutral and a double pole 15 Amp breaker. You can pull 15 amps on each plug because being on two different legs the outlet only sees 15 amps at a time. using the same leg would put 30 amps on the outlet and that would way overload it. Naturally, this circuit will be grounded. 12/3 NB and a 20 Amp breaker would be better