You may have more than one condition.
First: what exactly is the appearance of your dry skin? Any encrustation? If yes, it may be eczema which is usually treated with a topical corticosteroid cream. The problem with steroids of any type is that long term steroid use can lead to thinning of the skin, making it more susceptible to infection.
Second: waxy build-up in the ear canal. This may or may not be related to the eczema. Something you can try is using a blow dryer, on gentle heat and at a comfortable distance from your ear. This may help soften the wax. Then using a dropper, put a few drops of slightly warmed (body temperature] salty water to irrigate and wash out the ear canal. To avoid an accidental bumping, do not put the dropper into the ear canal.
I'm not sure what best dissolves ear wax, but saline water is usually safe and non-reactive.
A final note. This is an old folk remedy for dry skin -olive oil. Olive oil can be applied as a very thin layer, contains EFAs which are nourishing to the skin, and is inexpensive. Just make sure you use fresh extra virgin olive oil. This is because olive oil, especially the unprocessed extra virgin variety, has a relatively short shelf life. Processing changes the olive oils properties and reduces the amount of the ingredient you want. [Not sure which ingredient - sorry.] Have also heard that flax seed oil has similar characteristics.