14dpo hCG 174, 16dpo hCG 342, 22dpo hCG 5656, progesterone 54. Could fast doubling time indicate molar pregnancy?

No. Molar pregnancies are almost never diagnosed this early. Good news! The hCG is rising at a mostly appropriate rate, the "doubling time" is not exact. Why are so many quants being done so many days in a row?