Are faucets worth using to start off?
100% no and 100% waste of time.
What would be the best ways to earn any crypto without purchasing?
Earn them. It seems you can earn small amounts from signature campaigns though you need to be a Member or Full Member to earn a decent amount.
Is BTCitcoin "just a fad that will die soon"?
It could be a fad but only time will tell. I think it's got a few years in it at least.
How come the price of BTCitcoin fluctuates so much?
Supply and demand and people panic selling/buying.