I', no expert, far from it, but that doesn't sound like skin cancer at all. More like something systematic, if there is something going on, playing havoc with your skin, hair etc.

Assuming you've had basic blood tests etc? If they've been fine, you're maybe needing testing for some autoimmune conditions. Again, not saying it is even that, but they're the usual culprits if someone is having widespread issues.

I agree with ProfBaw, this doesn't sound like skin cancer (which doesn't cause the symptoms you are experiencing). I'm assuming due to 1983 being in your CRUK name that you are 41/42? I think a blood test is necessary as some or all of these symptoms may be due to hormones (or lack of) as we women age or, a more serious autoimmune condition.

Pigmentation on the face, chest etc happens to some women as they reach their 40's (my daughter actually started with it at 32 when she was pregnant with my granddaughter because of a change in hormonal activity and exposure to the sun). Also, as Elizabeth says, skin cancers don't usually happen at the same time. I have family members who have had several BCC between them but all happened 2 or 3 years later & were totally unconnected other than that UV damage caused them all. Melanoma & non melanoma skin cancers don't cause any symptoms other than the appearance of the mole or lesion. 

Please see your GP and I'm sure a blood test will reveal the problem.

Angie (Stage 3 melanoma patient since 2009)