I know that it is better to get a sample from the middle but I'm stuck answering the last two questions.
Any help would be appreciated!
As to the method of isotopic dating, K-Ar is generally OK but the relative error bounds get worryingly large for dates < a million years. Ar-Ar is more precise but more expensive. It's also an excellent method, as is Rb-Sr, especially for really old precambrian plutons - provided the sample is fresh. Any weathering or diagenesis messes up the method.
The dating method should be zircon U-Pb dating, unless you have a very good reason why not to. Zircons are stable and robust, and with modern analytical methods it may be possible to resolve more than one age in a single zircon, representing for instance recycled detrital zircons.