1) Study Roger Wilmut's excellent series of articles: "Abandoning Appleworks"
2) Install Snow Leopard Server into Parallels 8 on your new MBP and have continuing access to Appleworks in Mt. Lion:
[click on image to enlarge]
Snow Leopard Server is now available at the Apple Store for a 95% discount: $19.99 + sales tax & shipping - 1.800.MYAPPLE (1.800.692.7753) - Apple Part Number: MC588Z/A (telephone orders only).
Parallels 8 has a free 14 day trial download:
Draw documents can be transfered to Pages, but you do need to have access to AppleWorks. If you still have access to AppleWorks you can copy the contents of draw documents, paste them into an AppleWorks word processing document in object mode (click the arrow in the tool panel), save the WP document & then open it in Pages. You can copy & paste from AppleWorks to Pages but you would have to do it object by object or it will be one big uneditable object. Paint documents can probably be done using the same method.
AppleWorks presentations can be opened in Keynote. Presentation was a new module in AppleWorks 6 so there is no need to make sure the files have been saved by AppleWorks 6 as is necessary for Pages & Numbers to open word processing & spreadsheet documents.