Just check the RS guide .... step by step guidance to Acropolis & Parthenon AND the Ancient Agora -- plus if you have a smartphone or I-pod/ mp3player, you can download from this website his FREE audio guides to same ... of course, ifyou've done any reading at all on line or in any guide book at all, you'll know to be at Acropolis at opening time.... then u have about 90 minutes at least before group tours begin to crowd the Rock (maybe not as many, in March) ... I believe he also now has a step by step DIY for Acrop Museum.
In order, You should do Parthenon then Mars Hill (BTW that is roman name, greeks call it Aeropagus), Then you have a choice -- see this map to understand http://www.orangesmile.com/destinations/img/athens-map-big.jpg (click to enlarge, move w. side-guides). Which way you'll go depends on whether your hotel is NORTH of Acropois or SOUTH.
• IF HOTEL is NORTH - Go out via the ancient theatres and go to Acropolis Museum ... you can have early lunch in their great glass enclosed cafe looking up at the ROck. -- 1st 2 floors are about the early pre-parthenon artifacts .... read up, or ask some of the "Docents" who may be standing around w. badges, to help. TOP floor has VERY useful & fascinating 20+ minute video, live action & animation, re history of Parthenon, very illuminating. Prior study enhances appreciation. THEN go back to the entrance to Acropolis area, and go thru AGORA. exit far side by Stoa of Attalos, near the roman Agora... you'll want to stop for a drink around that time, over there... And you'll wend from there to hotel
• IF HOTEL Is SOUTH - you'll reverse the order after Parthenon -- go straight from Aeropagus thru Agora, and then at its exit, stop for lunch at one of the Cafes, along the border there. Relax, get 2nd wind, then wind your way around the Acropolis on ERMOU (shopping street see map) thru plaka, til you come to promenade south of Acropolis area, and go to New Acropolis Museum. Stop in cafe for beverage and pick-me-up then tour museum and wander back to hotel.