The step repeated three times was not Filters ... it was Buy an External Strobe.
And while all 5 suggestions I agree vastly improve your photos. The Essential Rules would be what I owuld expect to see before suggesting buying etc equipment.
For example .. there is no point buying an external strobe unless you have learnt to get as close as possible i.e. less than 5ft away from your subject when using a strobebe it internal or external. (often less than 3ft for internal)
Similar arguements could be said before buying close up or wide angle lenses ... get used to getting good shots before you buy these things .. then you get to relearn it all over again when you do buy them. But you have a nice starting point to learn from.
I wasn't hinting anything about filters ... infact adding a UR pro filters will help any compact shooter break most of the rules and still get a great photo.
Anyways .. It is a good read even for people like me who think they know what they are doing as it can always help to be reminded of a few old adages as Peter says.